381678601053137 has 16 divisors (see below), whose sum is σ = 410344295952000. Its totient is φ = 354081869361792.

The previous prime is 381678601053121. The next prime is 381678601053149. The reversal of 381678601053137 is 731350106876183.

It is a cyclic number.

It is not a de Polignac number, because 381678601053137 - 2⁴ = 381678601053121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (381678601053637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 716196887 + ... + 716729612.

It is an arithmetic number, because the mean of its divisors is an integer number (25646518497000).

Almost surely, 2^{381678601053137} is an apocalyptic number.

381678601053137 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

381678601053137 is a deficient number, since it is larger than the sum of its proper divisors (28665694898863).

381678601053137 is a wasteful number, since it uses less digits than its factorization.

381678601053137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432926872.

The product of its (nonzero) digits is 15240960, while the sum is 59.

The spelling of 381678601053137 in words is "three hundred eighty-one trillion, six hundred seventy-eight billion, six hundred one million, fifty-three thousand, one hundred thirty-seven".