447937057152 has 1024 divisors, whose sum is σ = 1612319385600. Its totient is φ = 120989417472.

The previous prime is 447937057147. The next prime is 447937057207. The reversal of 447937057152 is 251750739744.

447937057152 is a `hidden beast` number, since 4 + 4 + 79 + 370 + 57 + 152 = 666.

It is a super-2 number, since 2×447937057152² (a number of 24 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 755374168 + ... + 755374760.

It is an arithmetic number, because the mean of its divisors is an integer number (1574530650).

Almost surely, 2^447937057152 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 447937057152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806159692800).

447937057152 is an abundant number, since it is smaller than the sum of its proper divisors (1164382328448).

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

447937057152 is a wasteful number, since it uses less digits than its factorization.

447937057152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 447937057152 in words is "four hundred forty-seven billion, nine hundred thirty-seven million, fifty-seven thousand, one hundred fifty-two".