48413374352784 has 225 divisors, whose sum is σ = 163005373439931. Its totient is φ = 13831891698240.

The previous prime is 48413374352699. The next prime is 48413374352807. The reversal of 48413374352784 is 48725347331484.

The square root of 48413374352784 is 6957972.

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

48413374352784 is a `hidden beast` number, since 4 + 8 + 4 + 1 + 33 + 74 + 3 + 527 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1753395139 + ... + 1753422749.

Almost surely, 2^{48413374352784} is an apocalyptic number.

48413374352784 is the 6957972-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48413374352784

48413374352784 is an abundant number, since it is smaller than the sum of its proper divisors (114591999087147).

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

48413374352784 is an frugal number, since it uses more digits than its factorization.

48413374352784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55256 (or 27623 counting only the distinct ones).

The product of its digits is 216760320, while the sum is 63.

The spelling of 48413374352784 in words is "forty-eight trillion, four hundred thirteen billion, three hundred seventy-four million, three hundred fifty-two thousand, seven hundred eighty-four".