379015616448 has 896 divisors, whose sum is σ = 1366596403200. Its totient is φ = 100727193600.

The previous prime is 379015616431. The next prime is 379015616521. The reversal of 379015616448 is 844616510973.

379015616448 is a `hidden beast` number, since 3 + 7 + 9 + 0 + 15 + 616 + 4 + 4 + 8 = 666.

It is a super-2 number, since 2×379015616448² (a number of 24 digits) contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 379015616394 and 379015616403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1368287286 + ... + 1368287562.

It is an arithmetic number, because the mean of its divisors is an integer number (1525219200).

Almost surely, 2^379015616448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379015616448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683298201600).

379015616448 is an abundant number, since it is smaller than the sum of its proper divisors (987580786752).

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

379015616448 is a wasteful number, since it uses less digits than its factorization.

379015616448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 379015616448 in words is "three hundred seventy-nine billion, fifteen million, six hundred sixteen thousand, four hundred forty-eight".