1329492905136 has 400 divisors, whose sum is σ = 4539283752960. Its totient is φ = 371107215360.

The previous prime is 1329492905131. The next prime is 1329492905137. The reversal of 1329492905136 is 6315092949231.

1329492905136 is a `hidden beast` number, since 1 + 32 + 9 + 4 + 9 + 2 + 90 + 513 + 6 = 666.

It is a super-2 number, since 2×1329492905136² (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 (1329492905131) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11332185 + ... + 11448903.

Almost surely, 2^{1329492905136} is an apocalyptic number.

1329492905136 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 1329492905136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269641876480).

1329492905136 is an abundant number, since it is smaller than the sum of its proper divisors (3209790847824).

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

1329492905136 is a wasteful number, since it uses less digits than its factorization.

1329492905136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116814 (or 116799 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 1329492905136 in words is "one trillion, three hundred twenty-nine billion, four hundred ninety-two million, nine hundred five thousand, one hundred thirty-six".