1314977836032 has 1320 divisors, whose sum is σ = 4808557458432. Its totient is φ = 358467379200.

The previous prime is 1314977836013. The next prime is 1314977836043. The reversal of 1314977836032 is 2306387794131.

1314977836032 is a `hidden beast` number, since 13 + 1 + 497 + 7 + 83 + 60 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1314977836032.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18520814557 + ... + 18520814627.

Almost surely, 2^{1314977836032} is an apocalyptic number.

1314977836032 is a gapful number since it is divisible by the number (12) 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 1314977836032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404278729216).

1314977836032 is an abundant number, since it is smaller than the sum of its proper divisors (3493579622400).

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

1314977836032 is an frugal number, since it uses more digits than its factorization.

1314977836032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 1314977836032 in words is "one trillion, three hundred fourteen billion, nine hundred seventy-seven million, eight hundred thirty-six thousand, thirty-two".