312511452480 has 504 divisors, whose sum is σ = 1140303909888. Its totient is φ = 81537518592.

The previous prime is 312511452467. The next prime is 312511452493. The reversal of 312511452480 is 84254115213.

312511452480 is a `hidden beast` number, since 3 + 1 + 2 + 51 + 1 + 4 + 524 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (312511452467) and next prime (312511452493).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98675857 + ... + 98679023.

Almost surely, 2^312511452480 is an apocalyptic number.

312511452480 is a gapful number since it is divisible by the number (30) 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 312511452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570151954944).

312511452480 is an abundant number, since it is smaller than the sum of its proper divisors (827792457408).

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

312511452480 is an frugal number, since it uses more digits than its factorization.

312511452480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 312511452480 its reverse (84254115213), we get a palindrome (396765567693).

The spelling of 312511452480 in words is "three hundred twelve billion, five hundred eleven million, four hundred fifty-two thousand, four hundred eighty".