45654820512 has 96 divisors (see below), whose sum is σ = 137497917312. Its totient is φ = 12993429504.

The previous prime is 45654820501. The next prime is 45654820579. The reversal of 45654820512 is 21502845654.

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

It is a super-5 number, since 5×45654820512⁵ (a number of 54 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40528 + ... + 304880.

It is an arithmetic number, because the mean of its divisors is an integer number (1432269972).

Almost surely, 2^45654820512 is an apocalyptic number.

45654820512 is a gapful number since it is divisible by the number (42) 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 45654820512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68748958656).

45654820512 is an abundant number, since it is smaller than the sum of its proper divisors (91843096800).

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

45654820512 is a wasteful number, since it uses less digits than its factorization.

45654820512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264630 (or 264622 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The spelling of 45654820512 in words is "forty-five billion, six hundred fifty-four million, eight hundred twenty thousand, five hundred twelve".