45954508160 has 64 divisors (see below), whose sum is σ = 119847286800. Its totient is φ = 16710727680.

The previous prime is 45954508157. The next prime is 45954508189. The reversal of 45954508160 is 6180545954.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×45954508160³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3256775 + ... + 3270854.

Almost surely, 2^45954508160 is an apocalyptic number.

45954508160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45954508160 is an abundant number, since it is smaller than the sum of its proper divisors (73892778640).

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

45954508160 is a wasteful number, since it uses less digits than its factorization.

45954508160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6527659 (or 6527647 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 47.

The spelling of 45954508160 in words is "forty-five billion, nine hundred fifty-four million, five hundred eight thousand, one hundred sixty".