450793239257088 has 2688 divisors, whose sum is σ = 1780665281740800. Its totient is φ = 106435807543296.

The previous prime is 450793239257083. The next prime is 450793239257113. The reversal of 450793239257088 is 880752932397054.

450793239257088 is a `hidden beast` number, since 4 + 5 + 0 + 7 + 93 + 2 + 392 + 5 + 70 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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 (450793239257083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 626972515993 + ... + 626972516711.

It is an arithmetic number, because the mean of its divisors is an integer number (662449881600).

Almost surely, 2^{450793239257088} is an apocalyptic number.

450793239257088 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 450793239257088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890332640870400).

450793239257088 is an abundant number, since it is smaller than the sum of its proper divisors (1329872042483712).

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

450793239257088 is a wasteful number, since it uses less digits than its factorization.

450793239257088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 450793239257088 in words is "four hundred fifty trillion, seven hundred ninety-three billion, two hundred thirty-nine million, two hundred fifty-seven thousand, eighty-eight".