85945151136 has 96 divisors (see below), whose sum is σ = 244815455808. Its totient is φ = 26242744320.

The previous prime is 85945151093. The next prime is 85945151137. The reversal of 85945151136 is 63115154958.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (85945151137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99361 + ... + 426336.

It is an arithmetic number, because the mean of its divisors is an integer number (2550160998).

Almost surely, 2^85945151136 is an apocalyptic number.

It is an amenable number.

85945151136 is an abundant number, since it is smaller than the sum of its proper divisors (158870304672).

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

85945151136 is a wasteful number, since it uses less digits than its factorization.

85945151136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525854 (or 525846 counting only the distinct ones).

The product of its digits is 648000, while the sum is 48.

The spelling of 85945151136 in words is "eighty-five billion, nine hundred forty-five million, one hundred fifty-one thousand, one hundred thirty-six".