45402660576 has 144 divisors (see below), whose sum is σ = 158909403744. Its totient is φ = 11974321152.

The previous prime is 45402660551. The next prime is 45402660577. The reversal of 45402660576 is 67506620454.

45402660576 is a `hidden beast` number, since 4 + 54 + 0 + 26 + 6 + 0 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×45402660576² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45402660577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 839991 + ... + 892406.

It is an arithmetic number, because the mean of its divisors is an integer number (1103537526).

Almost surely, 2^45402660576 is an apocalyptic number.

It is an amenable number.

45402660576 is an abundant number, since it is smaller than the sum of its proper divisors (113506743168).

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

45402660576 is a wasteful number, since it uses less digits than its factorization.

45402660576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732433 (or 1732422 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 45402660576 in words is "forty-five billion, four hundred two million, six hundred sixty thousand, five hundred seventy-six".