312632121648 has 320 divisors, whose sum is σ = 1061417779200. Its totient is φ = 76820244480.

The previous prime is 312632121589. The next prime is 312632121661. The reversal of 312632121648 is 846121236213.

It is a super-2 number, since 2×312632121648² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56808465 + ... + 56813967.

It is an arithmetic number, because the mean of its divisors is an integer number (3316930560).

Almost surely, 2^312632121648 is an apocalyptic number.

312632121648 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312632121648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530708889600).

312632121648 is an abundant number, since it is smaller than the sum of its proper divisors (748785657552).

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

312632121648 is a wasteful number, since it uses less digits than its factorization.

312632121648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6360 (or 6354 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The spelling of 312632121648 in words is "three hundred twelve billion, six hundred thirty-two million, one hundred twenty-one thousand, six hundred forty-eight".