360460612512 has 768 divisors, whose sum is σ = 1473048944640. Its totient is φ = 82661990400.

The previous prime is 360460612481. The next prime is 360460612517. The reversal of 360460612512 is 215216064063.

360460612512 is a `hidden beast` number, since 3 + 60 + 460 + 6 + 125 + 12 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (360460612517) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19882812 + ... + 19900932.

It is an arithmetic number, because the mean of its divisors is an integer number (1918032480).

Almost surely, 2^360460612512 is an apocalyptic number.

360460612512 is a gapful number since it is divisible by the number (32) 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 360460612512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736524472320).

360460612512 is an abundant number, since it is smaller than the sum of its proper divisors (1112588332128).

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

360460612512 is a wasteful number, since it uses less digits than its factorization.

360460612512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18194 (or 18180 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 360460612512 its reverse (215216064063), we get a palindrome (575676676575).

The spelling of 360460612512 in words is "three hundred sixty billion, four hundred sixty million, six hundred twelve thousand, five hundred twelve".