90546463546056 has 1152 divisors, whose sum is σ = 316785563539200. Its totient is φ = 23847573657600.

The previous prime is 90546463545991. The next prime is 90546463546103. The reversal of 90546463546056 is 65064536464509.

90546463546056 is a `hidden beast` number, since 9 + 0 + 5 + 4 + 64 + 63 + 5 + 460 + 56 = 666.

90546463546056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) 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 (63).

It is a junction number, because it is equal to n+sod(n) for n = 90546463545984 and 90546463546002.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 68543877876 + ... + 68543879196.

It is an arithmetic number, because the mean of its divisors is an integer number (274987468350).

Almost surely, 2^{90546463546056} 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 90546463546056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158392781769600).

90546463546056 is an abundant number, since it is smaller than the sum of its proper divisors (226239099993144).

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

90546463546056 is a wasteful number, since it uses less digits than its factorization.

90546463546056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 279936000, while the sum is 63.

The spelling of 90546463546056 in words is "ninety trillion, five hundred forty-six billion, four hundred sixty-three million, five hundred forty-six thousand, fifty-six".