1461091794336 has 72 divisors (see below), whose sum is σ = 4159718228484. Its totient is φ = 486475176960.

The previous prime is 1461091794263. The next prime is 1461091794341. The reversal of 1461091794336 is 6334971901641.

1461091794336 is a `hidden beast` number, since 1 + 4 + 610 + 9 + 17 + 9 + 4 + 3 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1196529699600 + 264562094736 = 1093860^2 + 514356^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×1461091794336³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2639805 + ... + 3144956.

Almost surely, 2^{1461091794336} is an apocalyptic number.

1461091794336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1461091794336 is an abundant number, since it is smaller than the sum of its proper divisors (2698626434148).

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

1461091794336 is a wasteful number, since it uses less digits than its factorization.

1461091794336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5785654 (or 5785643 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 1461091794336 in words is "one trillion, four hundred sixty-one billion, ninety-one million, seven hundred ninety-four thousand, three hundred thirty-six".