123890078270464 has 297 divisors, whose sum is σ = 275787306626391. Its totient is φ = 55585286000640.

The previous prime is 123890078270407. The next prime is 123890078270509. The reversal of 123890078270464 is 464072870098321.

The square root of 123890078270464 is 11130592.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 403550743399 + ... + 403550743705.

Almost surely, 2^{123890078270464} is an apocalyptic number.

123890078270464 is the 11130592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123890078270464

123890078270464 is an abundant number, since it is smaller than the sum of its proper divisors (151897228355927).

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

123890078270464 is an frugal number, since it uses more digits than its factorization.

123890078270464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 61.

The spelling of 123890078270464 in words is "one hundred twenty-three trillion, eight hundred ninety billion, seventy-eight million, two hundred seventy thousand, four hundred sixty-four".