1909734564816 has 100 divisors (see below), whose sum is σ = 5952504856452. Its totient is φ = 587610630144.

The previous prime is 1909734564791. The next prime is 1909734564821. The reversal of 1909734564816 is 6184654379091.

1909734564816 is a `hidden beast` number, since 1 + 90 + 97 + 3 + 456 + 4 + 8 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 272859969600 + 1636874595216 = 522360^2 + 1279404^2 .

It is a super-2 number, since 2×1909734564816² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56658561 + ... + 56692256.

Almost surely, 2^{1909734564816} is an apocalyptic number.

1909734564816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1909734564816 is an abundant number, since it is smaller than the sum of its proper divisors (4042770291636).

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

1909734564816 is a wasteful number, since it uses less digits than its factorization.

1909734564816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113350850 (or 113350835 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 1909734564816 in words is "one trillion, nine hundred nine billion, seven hundred thirty-four million, five hundred sixty-four thousand, eight hundred sixteen".