450007268079888 has 240 divisors, whose sum is σ = 1328400992894976. Its totient is φ = 141998002548480.

The previous prime is 450007268079881. The next prime is 450007268079949. The reversal of 450007268079888 is 888970862700054.

450007268079888 is a `hidden beast` number, since 4 + 500 + 0 + 7 + 26 + 8 + 0 + 7 + 98 + 8 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (450007268079881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386934745 + ... + 388096007.

Almost surely, 2^{450007268079888} is an apocalyptic number.

450007268079888 is a gapful number since it is divisible by the number (48) 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 450007268079888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664200496447488).

450007268079888 is an abundant number, since it is smaller than the sum of its proper divisors (878393724815088).

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

450007268079888 is a wasteful number, since it uses less digits than its factorization.

450007268079888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163202 (or 1163193 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 72.

The spelling of 450007268079888 in words is "four hundred fifty trillion, seven billion, two hundred sixty-eight million, seventy-nine thousand, eight hundred eighty-eight".