1607940658116 has 135 divisors (see below), whose sum is σ = 4552531425981. Its totient is φ = 494659672416.

The previous prime is 1607940658031. The next prime is 1607940658141. The reversal of 1607940658116 is 6118560497061.

The square root of 1607940658116 is 1268046.

It is a perfect power (a square), and thus also a powerful number.

1607940658116 is a `hidden beast` number, since 1 + 6 + 0 + 7 + 9 + 40 + 6 + 581 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 237861044100 + 1370079614016 = 487710^2 + 1170504^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 296720055 + ... + 296725473.

Almost surely, 2^{1607940658116} is an apocalyptic number.

1607940658116 is the 1268046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1607940658116

1607940658116 is an abundant number, since it is smaller than the sum of its proper divisors (2944590767865).

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

1607940658116 is an frugal number, since it uses more digits than its factorization.

1607940658116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10880 (or 5437 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1607940658116 in words is "one trillion, six hundred seven billion, nine hundred forty million, six hundred fifty-eight thousand, one hundred sixteen".