45512054400 has 384 divisors, whose sum is σ = 153702037440. Its totient is φ = 11833344000.

The previous prime is 45512054369. The next prime is 45512054447. The reversal of 45512054400 is 445021554.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70780479 + ... + 70781121.

Almost surely, 2^45512054400 is an apocalyptic number.

45512054400 is a gapful number since it is divisible by the number (40) 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 45512054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76851018720).

45512054400 is an abundant number, since it is smaller than the sum of its proper divisors (108189983040).

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

45512054400 is a wasteful number, since it uses less digits than its factorization.

45512054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 45512054400 its reverse (445021554), we get a palindrome (45957075954).

The spelling of 45512054400 in words is "forty-five billion, five hundred twelve million, fifty-four thousand, four hundred".