45904761216 has 96 divisors (see below), whose sum is σ = 139048205400. Its totient is φ = 14496233472.

The previous prime is 45904761211. The next prime is 45904761269. The reversal of 45904761216 is 61216740954.

45904761216 is a `hidden beast` number, since 4 + 59 + 0 + 476 + 121 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45904761211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1026741 + ... + 1070516.

Almost surely, 2^45904761216 is an apocalyptic number.

It is an amenable number.

45904761216 is an abundant number, since it is smaller than the sum of its proper divisors (93143444184).

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

45904761216 is a wasteful number, since it uses less digits than its factorization.

45904761216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097296 (or 2097281 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 45904761216 in words is "forty-five billion, nine hundred four million, seven hundred sixty-one thousand, two hundred sixteen".