1379153164032 has 864 divisors, whose sum is σ = 4822795041792. Its totient is φ = 384976945152.

The previous prime is 1379153164013. The next prime is 1379153164069. The reversal of 1379153164032 is 2304613519731.

1379153164032 is a `hidden beast` number, since 1 + 3 + 79 + 1 + 531 + 6 + 40 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

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, 4350640738 + ... + 4350641054.

Almost surely, 2^{1379153164032} is an apocalyptic number.

1379153164032 is a gapful number since it is divisible by the number (12) 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 1379153164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411397520896).

1379153164032 is an abundant number, since it is smaller than the sum of its proper divisors (3443641877760).

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

1379153164032 is an equidigital number, since it uses as much as digits as its factorization.

1379153164032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 1379153164032 in words is "one trillion, three hundred seventy-nine billion, one hundred fifty-three million, one hundred sixty-four thousand, thirty-two".