45671593443840 has 3200 divisors, whose sum is σ = 214649941524480. Its totient is φ = 9017098371072.

The previous prime is 45671593443823. The next prime is 45671593443841. The reversal of 45671593443840 is 4834439517654.

45671593443840 is a `hidden beast` number, since 4 + 5 + 6 + 7 + 1 + 593 + 4 + 4 + 38 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (45671593443841) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 20398209441 + ... + 20398211679.

Almost surely, 2^{45671593443840} is an apocalyptic number.

45671593443840 is a gapful number since it is divisible by the number (40) 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 45671593443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107324970762240).

45671593443840 is an abundant number, since it is smaller than the sum of its proper divisors (168978348080640).

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

45671593443840 is a wasteful number, since it uses less digits than its factorization.

45671593443840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 45671593443840 in words is "forty-five trillion, six hundred seventy-one billion, five hundred ninety-three million, four hundred forty-three thousand, eight hundred forty".