447552757499904 has 720 divisors, whose sum is σ = 1646535262111740. Its totient is φ = 120350284185600.

The previous prime is 447552757499857. The next prime is 447552757499917. The reversal of 447552757499904 is 409994757255744.

447552757499904 is a `hidden beast` number, since 4 + 4 + 7 + 5 + 52 + 75 + 7 + 499 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 427250884322304 + 20301873177600 = 20670048^2 + 4505760^2 .

It is a super-2 number, since 2×447552757499904² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 136565304 + ... + 139804104.

Almost surely, 2^{447552757499904} 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 447552757499904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823267631055870).

447552757499904 is an abundant number, since it is smaller than the sum of its proper divisors (1198982504611836).

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

447552757499904 is a wasteful number, since it uses less digits than its factorization.

447552757499904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238866 (or 3238830 counting only the distinct ones).

The product of its (nonzero) digits is 16003008000, while the sum is 81.

The spelling of 447552757499904 in words is "four hundred forty-seven trillion, five hundred fifty-two billion, seven hundred fifty-seven million, four hundred ninety-nine thousand, nine hundred four".