91470145536 has 1296 divisors, whose sum is σ = 361602783360. Its totient is φ = 22992076800.

The previous prime is 91470145517. The next prime is 91470145537. The reversal of 91470145536 is 63554107419.

91470145536 is a `hidden beast` number, since 9 + 1 + 4 + 70 + 1 + 45 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a junction number, because it is equal to n+sod(n) for n = 91470145491 and 91470145500.

It is not an unprimeable number, because it can be changed into a prime (91470145537) 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, 2950649841 + ... + 2950649871.

Almost surely, 2^91470145536 is an apocalyptic number.

91470145536 is a gapful number since it is divisible by the number (96) 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 91470145536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180801391680).

91470145536 is an abundant number, since it is smaller than the sum of its proper divisors (270132637824).

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

91470145536 is a wasteful number, since it uses less digits than its factorization.

91470145536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 91470145536 in words is "ninety-one billion, four hundred seventy million, one hundred forty-five thousand, five hundred thirty-six".