45539366400 has 900 divisors, whose sum is σ = 185908582860. Its totient is φ = 11039846400.

The previous prime is 45539366393. The next prime is 45539366429. The reversal of 45539366400 is 466393554.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

45539366400 is a `hidden beast` number, since 4 + 553 + 9 + 36 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×45539366400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 4139942395 + ... + 4139942405.

Almost surely, 2^45539366400 is an apocalyptic number.

45539366400 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 45539366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92954291430).

45539366400 is an abundant number, since it is smaller than the sum of its proper divisors (140369216460).

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

45539366400 is an frugal number, since it uses more digits than its factorization.

45539366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 45539366400 in words is "forty-five billion, five hundred thirty-nine million, three hundred sixty-six thousand, four hundred".