1385101431756 has 96 divisors (see below), whose sum is σ = 4154671144960. Its totient is φ = 395743248720.

The previous prime is 1385101431743. The next prime is 1385101431761. The reversal of 1385101431756 is 6571341015831.

1385101431756 is a `hidden beast` number, since 1 + 38 + 510 + 1 + 4 + 31 + 75 + 6 = 666.

It is a super-2 number, since 2×1385101431756² (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 31 ways as a sum of consecutive naturals, for example, 11248300 + ... + 11370771.

Almost surely, 2^{1385101431756} is an apocalyptic number.

It is an amenable number.

1385101431756 is an abundant number, since it is smaller than the sum of its proper divisors (2769569713204).

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

1385101431756 is an equidigital number, since it uses as much as digits as its factorization.

1385101431756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22619103 (or 22619083 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 1385101431756 in words is "one trillion, three hundred eighty-five billion, one hundred one million, four hundred thirty-one thousand, seven hundred fifty-six".