312409452096 has 315 divisors, whose sum is σ = 1078248405729. Its totient is φ = 89179356672.

The previous prime is 312409452073. The next prime is 312409452109. The reversal of 312409452096 is 690254904213.

The square root of 312409452096 is 558936.

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

312409452096 is a `hidden beast` number, since 31 + 2 + 4 + 0 + 9 + 4 + 520 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5050092096 + 307359360000 = 71064^2 + 554400^2 .

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, 281703190 + ... + 281704298.

Almost surely, 2^312409452096 is an apocalyptic number.

312409452096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

312409452096 is the 558936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312409452096

312409452096 is an abundant number, since it is smaller than the sum of its proper divisors (765838953633).

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

312409452096 is an frugal number, since it uses more digits than its factorization.

312409452096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 312409452096 in words is "three hundred twelve billion, four hundred nine million, four hundred fifty-two thousand, ninety-six".