452793610495464 has 1024 divisors, whose sum is σ = 1414980403200000. Its totient is φ = 117904385064960.

The previous prime is 452793610495451. The next prime is 452793610495469. The reversal of 452793610495464 is 464594016397254.

It is not an unprimeable number, because it can be changed into a prime (452793610495469) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 795770844172 + ... + 795770844740.

It is an arithmetic number, because the mean of its divisors is an integer number (1381816800000).

Almost surely, 2^{452793610495464} 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 452793610495464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707490201600000).

452793610495464 is an abundant number, since it is smaller than the sum of its proper divisors (962186792704536).

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

452793610495464 is a wasteful number, since it uses less digits than its factorization.

452793610495464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 69.

The spelling of 452793610495464 in words is "four hundred fifty-two trillion, seven hundred ninety-three billion, six hundred ten million, four hundred ninety-five thousand, four hundred sixty-four".