45708687072400 has 405 divisors, whose sum is σ = 122568223069803. Its totient is φ = 16368756518400.

The previous prime is 45708687072379. The next prime is 45708687072439. The reversal of 45708687072400 is 427078680754.

The square root of 45708687072400 is 6760820.

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 7598115835024 + 38110571237376 = 2756468^2 + 6173376^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 117503051406 + ... + 117503051794.

Almost surely, 2^{45708687072400} is an apocalyptic number.

45708687072400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

45708687072400 is the 6760820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45708687072400

45708687072400 is an abundant number, since it is smaller than the sum of its proper divisors (76859535997403).

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

45708687072400 is an equidigital number, since it uses as much as digits as its factorization.

45708687072400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 21073920, while the sum is 58.

The spelling of 45708687072400 in words is "forty-five trillion, seven hundred eight billion, six hundred eighty-seven million, seventy-two thousand, four hundred".