380188514414016 has 2352 divisors, whose sum is σ = 1577013248060160. Its totient is φ = 88045201981440.

The previous prime is 380188514414003. The next prime is 380188514414053. The reversal of 380188514414016 is 610414415881083.

380188514414016 is a `hidden beast` number, since 3 + 8 + 0 + 1 + 88 + 514 + 4 + 1 + 40 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 19726473756 + ... + 19726493028.

Almost surely, 2^{380188514414016} is an apocalyptic number.

380188514414016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380188514414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788506624030080).

380188514414016 is an abundant number, since it is smaller than the sum of its proper divisors (1196824733646144).

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

380188514414016 is a wasteful number, since it uses less digits than its factorization.

380188514414016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19374 (or 19332 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 380188514414016 in words is "three hundred eighty trillion, one hundred eighty-eight billion, five hundred fourteen million, four hundred fourteen thousand, sixteen".