1370077405164 has 144 divisors (see below), whose sum is σ = 3753908776800. Its totient is φ = 418825239552.

The previous prime is 1370077405133. The next prime is 1370077405171. The reversal of 1370077405164 is 4615047700731.

1370077405164 is a `hidden beast` number, since 13 + 7 + 0 + 0 + 77 + 405 + 164 = 666.

It is a super-2 number, since 2×1370077405164² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99933142 + ... + 99946850.

It is an arithmetic number, because the mean of its divisors is an integer number (26068810950).

Almost surely, 2^{1370077405164} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1370077405164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876954388400).

1370077405164 is an abundant number, since it is smaller than the sum of its proper divisors (2383831371636).

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

1370077405164 is a wasteful number, since it uses less digits than its factorization.

1370077405164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15104 (or 15099 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 1370077405164 in words is "one trillion, three hundred seventy billion, seventy-seven million, four hundred five thousand, one hundred sixty-four".