45939657294400 has 189 divisors, whose sum is σ = 117092661101611. Its totient is φ = 17739175982080.

The previous prime is 45939657294397. The next prime is 45939657294457. The reversal of 45939657294400 is 449275693954.

The square root of 45939657294400 is 6777880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 631465443904 + 45308191850496 = 794648^2 + 6731136^2 .

It is a super-2 number, since 2×45939657294400² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7862337879 + ... + 7862343721.

Almost surely, 2^{45939657294400} is an apocalyptic number.

45939657294400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

45939657294400 is the 6777880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45939657294400

45939657294400 is an abundant number, since it is smaller than the sum of its proper divisors (71153003807211).

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

45939657294400 is an frugal number, since it uses more digits than its factorization.

45939657294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11766 (or 5879 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 67.

The spelling of 45939657294400 in words is "forty-five trillion, nine hundred thirty-nine billion, six hundred fifty-seven million, two hundred ninety-four thousand, four hundred".