1356577631136 has 768 divisors, whose sum is σ = 5018543308800. Its totient is φ = 346954752000.

The previous prime is 1356577631119. The next prime is 1356577631183. The reversal of 1356577631136 is 6311367756531.

1356577631136 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 577 + 6 + 31 + 1 + 36 = 666.

It is a super-2 number, since 2×1356577631136² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 577020361 + ... + 577022711.

It is an arithmetic number, because the mean of its divisors is an integer number (6534561600).

Almost surely, 2^{1356577631136} is an apocalyptic number.

1356577631136 is a gapful number since it is divisible by the number (16) 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 1356577631136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509271654400).

1356577631136 is an abundant number, since it is smaller than the sum of its proper divisors (3661965677664).

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

1356577631136 is a wasteful number, since it uses less digits than its factorization.

1356577631136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2596 counting only the distinct ones).

The product of its digits is 7144200, while the sum is 54.

The spelling of 1356577631136 in words is "one trillion, three hundred fifty-six billion, five hundred seventy-seven million, six hundred thirty-one thousand, one hundred thirty-six".