1376172660456 has 768 divisors, whose sum is σ = 4678756992000. Its totient is φ = 359880744960.

The previous prime is 1376172660449. The next prime is 1376172660479. The reversal of 1376172660456 is 6540662716731.

1376172660456 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 1 + 7 + 26 + 604 + 5 + 6 = 666.

It is a super-2 number, since 2×1376172660456² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3284421415 + ... + 3284421833.

It is an arithmetic number, because the mean of its divisors is an integer number (6092131500).

Almost surely, 2^{1376172660456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1376172660456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339378496000).

1376172660456 is an abundant number, since it is smaller than the sum of its proper divisors (3302584331544).

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

1376172660456 is a wasteful number, since it uses less digits than its factorization.

1376172660456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 1376172660456 in words is "one trillion, three hundred seventy-six billion, one hundred seventy-two million, six hundred sixty thousand, four hundred fifty-six".