45451118636400 has 60 divisors (see below), whose sum is σ = 145595083369112. Its totient is φ = 12120298302720.

The previous prime is 45451118636381. The next prime is 45451118636411. The reversal of 45451118636400 is 463681115454.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×45451118636400³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45451118636400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18937964899 + ... + 18937967298.

Almost surely, 2^{45451118636400} is an apocalyptic number.

45451118636400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45451118636400 is an abundant number, since it is smaller than the sum of its proper divisors (100143964732712).

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

45451118636400 is a wasteful number, since it uses less digits than its factorization.

45451118636400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37875932218 (or 37875932207 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 45451118636400 in words is "forty-five trillion, four hundred fifty-one billion, one hundred eighteen million, six hundred thirty-six thousand, four hundred".