1315451011680 has 192 divisors, whose sum is σ = 4958238640320. Its totient is φ = 323803312128.

The previous prime is 1315451011669. The next prime is 1315451011751. The reversal of 1315451011680 is 861101545131.

1315451011680 is a `hidden beast` number, since 1 + 3 + 1 + 54 + 510 + 1 + 16 + 80 = 666.

It is a super-2 number, since 2×1315451011680² (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11655477 + ... + 11767796.

It is an arithmetic number, because the mean of its divisors is an integer number (25824159585).

Almost surely, 2^{1315451011680} is an apocalyptic number.

1315451011680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1315451011680 is an abundant number, since it is smaller than the sum of its proper divisors (3642787628640).

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

1315451011680 is a wasteful number, since it uses less digits than its factorization.

1315451011680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23423310 (or 23423296 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 1315451011680 in words is "one trillion, three hundred fifteen billion, four hundred fifty-one million, eleven thousand, six hundred eighty".