450123025651360 has 192 divisors, whose sum is σ = 1071149018163840. Its totient is φ = 178744678318080.

The previous prime is 450123025651337. The next prime is 450123025651447. The reversal of 450123025651360 is 63156520321054.

It is a super-4 number, since 4×450123025651360⁴ (a number of 60 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25805358799 + ... + 25805376241.

It is an arithmetic number, because the mean of its divisors is an integer number (5578901136270).

Almost surely, 2^{450123025651360} is an apocalyptic number.

450123025651360 is a gapful number since it is divisible by the number (40) 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 450123025651360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535574509081920).

450123025651360 is an abundant number, since it is smaller than the sum of its proper divisors (621025992512480).

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

450123025651360 is a wasteful number, since it uses less digits than its factorization.

450123025651360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19551 (or 19543 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 43.

The spelling of 450123025651360 in words is "four hundred fifty trillion, one hundred twenty-three billion, twenty-five million, six hundred fifty-one thousand, three hundred sixty".