379061159000832 has 1296 divisors, whose sum is σ = 1434909764381184. Its totient is φ = 97068367872000.

The previous prime is 379061159000819. The next prime is 379061159000833. The reversal of 379061159000832 is 238000951160973.

379061159000832 is a `hidden beast` number, since 3 + 7 + 9 + 0 + 6 + 11 + 590 + 0 + 0 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is not an unprimeable number, because it can be changed into a prime (379061159000833) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9182440032 + ... + 9182481312.

Almost surely, 2^{379061159000832} is an apocalyptic number.

379061159000832 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 379061159000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717454882190592).

379061159000832 is an abundant number, since it is smaller than the sum of its proper divisors (1055848605380352).

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

379061159000832 is an frugal number, since it uses more digits than its factorization.

379061159000832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41410 (or 41375 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 379061159000832 in words is "three hundred seventy-nine trillion, sixty-one billion, one hundred fifty-nine million, eight hundred thirty-two", and thus it is an aban number.