45228997911096 has 768 divisors, whose sum is σ = 139908703334400. Its totient is φ = 13124295475200.

The previous prime is 45228997911059. The next prime is 45228997911101. The reversal of 45228997911096 is 69011979982254.

45228997911096 is a `hidden beast` number, since 4 + 522 + 8 + 9 + 9 + 7 + 9 + 1 + 1 + 0 + 96 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82685553495 + ... + 82685554041.

It is an arithmetic number, because the mean of its divisors is an integer number (182172790800).

Almost surely, 2^{45228997911096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45228997911096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69954351667200).

45228997911096 is an abundant number, since it is smaller than the sum of its proper divisors (94679705423304).

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

45228997911096 is a wasteful number, since it uses less digits than its factorization.

45228997911096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 45228997911096 in words is "forty-five trillion, two hundred twenty-eight billion, nine hundred ninety-seven million, nine hundred eleven thousand, ninety-six".