312856434090 has 48 divisors (see below), whose sum is σ = 856238666400. Its totient is φ = 79037414496.

The previous prime is 312856434089. The next prime is 312856434091. The reversal of 312856434090 is 90434658213.

312856434090 is a `hidden beast` number, since 3 + 128 + 5 + 6 + 434 + 0 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (312856434089) and next prime (312856434091).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (312856434091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91476780 + ... + 91480199.

It is an arithmetic number, because the mean of its divisors is an integer number (17838305550).

Almost surely, 2^312856434090 is an apocalyptic number.

312856434090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312856434090 is an abundant number, since it is smaller than the sum of its proper divisors (543382232310).

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

312856434090 is a wasteful number, since it uses less digits than its factorization.

312856434090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182957011 (or 182957008 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 312856434090 in words is "three hundred twelve billion, eight hundred fifty-six million, four hundred thirty-four thousand, ninety".