1314747553680 has 480 divisors, whose sum is σ = 5027099995008. Its totient is φ = 316688486400.

The previous prime is 1314747553667. The next prime is 1314747553687. The reversal of 1314747553680 is 863557474131.

1314747553680 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 7 + 4 + 7 + 553 + 6 + 80 = 666.

It is a super-2 number, since 2×1314747553680² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1314747553687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33553300 + ... + 33592460.

Almost surely, 2^{1314747553680} is an apocalyptic number.

1314747553680 is a gapful number since it is divisible by the number (10) 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 1314747553680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513549997504).

1314747553680 is an abundant number, since it is smaller than the sum of its proper divisors (3712352441328).

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

1314747553680 is a wasteful number, since it uses less digits than its factorization.

1314747553680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39357 (or 39339 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 1314747553680 in words is "one trillion, three hundred fourteen billion, seven hundred forty-seven million, five hundred fifty-three thousand, six hundred eighty".