381601980893952 has 1080 divisors, whose sum is σ = 1426892027801856. Its totient is φ = 100541258366976.

The previous prime is 381601980893941. The next prime is 381601980893963. The reversal of 381601980893952 is 259398089106183.

381601980893952 is a `hidden beast` number, since 3 + 8 + 1 + 601 + 9 + 8 + 0 + 8 + 9 + 3 + 9 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (381601980893941) and next prime (381601980893963).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13644709473 + ... + 13644737439.

Almost surely, 2^{381601980893952} is an apocalyptic number.

381601980893952 is a gapful number since it is divisible by the number (32) 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 381601980893952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713446013900928).

381601980893952 is an abundant number, since it is smaller than the sum of its proper divisors (1045290046907904).

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

381601980893952 is a wasteful number, since it uses less digits than its factorization.

381601980893952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29055 (or 29025 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 381601980893952 in words is "three hundred eighty-one trillion, six hundred one billion, nine hundred eighty million, eight hundred ninety-three thousand, nine hundred fifty-two".