1604879531136 has 384 divisors, whose sum is σ = 5734973337600. Its totient is φ = 420389222400.

The previous prime is 1604879531119. The next prime is 1604879531147. The reversal of 1604879531136 is 6311359784061.

1604879531136 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 8 + 79 + 531 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4580751 + ... + 4918641.

It is an arithmetic number, because the mean of its divisors is an integer number (14934826400).

Almost surely, 2^{1604879531136} is an apocalyptic number.

1604879531136 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 1604879531136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867486668800).

1604879531136 is an abundant number, since it is smaller than the sum of its proper divisors (4130093806464).

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

1604879531136 is a wasteful number, since it uses less digits than its factorization.

1604879531136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337968 (or 337953 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1604879531136 in words is "one trillion, six hundred four billion, eight hundred seventy-nine million, five hundred thirty-one thousand, one hundred thirty-six".