456041552805888 has 1152 divisors, whose sum is σ = 1585223432110080. Its totient is φ = 113508939202560.

The previous prime is 456041552805851. The next prime is 456041552805907. The reversal of 456041552805888 is 888508255140654.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33363191118 + ... + 33363204786.

It is an arithmetic number, because the mean of its divisors is an integer number (1376062007040).

Almost surely, 2^{456041552805888} is an apocalyptic number.

456041552805888 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 456041552805888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792611716055040).

456041552805888 is an abundant number, since it is smaller than the sum of its proper divisors (1129181879304192).

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

456041552805888 is a wasteful number, since it uses less digits than its factorization.

456041552805888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13784 (or 13752 counting only the distinct ones).

The product of its (nonzero) digits is 491520000, while the sum is 69.

The spelling of 456041552805888 in words is "four hundred fifty-six trillion, forty-one billion, five hundred fifty-two million, eight hundred five thousand, eight hundred eighty-eight".