45121449600 has 192 divisors, whose sum is σ = 165132288000. Its totient is φ = 12032363520.

The previous prime is 45121449539. The next prime is 45121449613. The reversal of 45121449600 is 694412154.

45121449600 is a `hidden beast` number, since 4 + 5 + 1 + 2 + 1 + 4 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174720 + ... + 347519.

It is an arithmetic number, because the mean of its divisors is an integer number (860064000).

Almost surely, 2^45121449600 is an apocalyptic number.

45121449600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45121449600 is an abundant number, since it is smaller than the sum of its proper divisors (120010838400).

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

45121449600 is a wasteful number, since it uses less digits than its factorization.

45121449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522272 (or 522249 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 45121449600 in words is "forty-five billion, one hundred twenty-one million, four hundred forty-nine thousand, six hundred".