90462057012096 has 256 divisors, whose sum is σ = 299641595742720. Its totient is φ = 23491974758400.

The previous prime is 90462057012007. The next prime is 90462057012121. The reversal of 90462057012096 is 69021075026409.

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 31 ways as a sum of consecutive naturals, for example, 149933940 + ... + 150536076.

It is an arithmetic number, because the mean of its divisors is an integer number (1170474983370).

Almost surely, 2^{90462057012096} is an apocalyptic number.

90462057012096 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 90462057012096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149820797871360).

90462057012096 is an abundant number, since it is smaller than the sum of its proper divisors (209179538730624).

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

90462057012096 is a wasteful number, since it uses less digits than its factorization.

90462057012096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607253 (or 607241 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 90462057012096 in words is "ninety trillion, four hundred sixty-two billion, fifty-seven million, twelve thousand, ninety-six".