312261386880 has 64 divisors (see below), whose sum is σ = 995333176800. Its totient is φ = 83269702656.

The previous prime is 312261386873. The next prime is 312261386929. The reversal of 312261386880 is 88683162213.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×312261386880² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81316150 + ... + 81319989.

Almost surely, 2^312261386880 is an apocalyptic number.

312261386880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312261386880 is an abundant number, since it is smaller than the sum of its proper divisors (683071789920).

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

312261386880 is a wasteful number, since it uses less digits than its factorization.

312261386880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162636161 (or 162636149 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 312261386880 in words is "three hundred twelve billion, two hundred sixty-one million, three hundred eighty-six thousand, eight hundred eighty".