45539627409408 has 224 divisors, whose sum is σ = 139442994915840. Its totient is φ = 13073575772160.

The previous prime is 45539627409377. The next prime is 45539627409413. The reversal of 45539627409408 is 80490472693554.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703341 + ... + 9569427.

It is an arithmetic number, because the mean of its divisors is an integer number (622513370160).

Almost surely, 2^{45539627409408} is an apocalyptic number.

45539627409408 is a gapful number since it is divisible by the number (48) 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 45539627409408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69721497457920).

45539627409408 is an abundant number, since it is smaller than the sum of its proper divisors (93903367506432).

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

45539627409408 is a wasteful number, since it uses less digits than its factorization.

45539627409408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8866146 (or 8866122 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 66.

The spelling of 45539627409408 in words is "forty-five trillion, five hundred thirty-nine billion, six hundred twenty-seven million, four hundred nine thousand, four hundred eight".