45735072768 has 1188 divisors, whose sum is σ = 180757239936. Its totient is φ = 11496038400.

The previous prime is 45735072763. The next prime is 45735072787. The reversal of 45735072768 is 86727053754.

It is a happy number.

45735072768 is a `hidden beast` number, since 4 + 5 + 73 + 507 + 2 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1188).

It is a super-3 number, since 3×45735072768³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45735072763) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1475324913 + ... + 1475324943.

Almost surely, 2^45735072768 is an apocalyptic number.

45735072768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45735072768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90378619968).

45735072768 is an abundant number, since it is smaller than the sum of its proper divisors (135022167168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45735072768 is a wasteful number, since it uses less digits than its factorization.

45735072768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 45735072768 in words is "forty-five billion, seven hundred thirty-five million, seventy-two thousand, seven hundred sixty-eight".