380162021089536 has 2025 divisors, whose sum is σ = 1427704059580491. Its totient is φ = 100312617259008.

The previous prime is 380162021089489. The next prime is 380162021089553. The reversal of 380162021089536 is 635980120261083.

The square root of 380162021089536 is 19497744.

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

380162021089536 is a `hidden beast` number, since 3 + 8 + 0 + 1 + 6 + 2 + 0 + 21 + 0 + 89 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 903533895936 + 379258487193600 = 950544^2 + 19474560^2 .

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 224 ways as a sum of consecutive naturals, for example, 13109035209970 + ... + 13109035209998.

Almost surely, 2^{380162021089536} is an apocalyptic number.

380162021089536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

380162021089536 is the 19497744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380162021089536

380162021089536 is an abundant number, since it is smaller than the sum of its proper divisors (1047542038490955).

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

380162021089536 is an frugal number, since it uses more digits than its factorization.

380162021089536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 380162021089536 in words is "three hundred eighty trillion, one hundred sixty-two billion, twenty-one million, eighty-nine thousand, five hundred thirty-six".