461948266752000 has 2304 divisors, whose sum is σ = 1954249034250240. Its totient is φ = 96167264256000.

The previous prime is 461948266751999. The next prime is 461948266752019. The reversal of 461948266752000 is 257662849164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19832052354 + ... + 19832075646.

It is an arithmetic number, because the mean of its divisors is an integer number (848198365560).

Almost surely, 2^{461948266752000} is an apocalyptic number.

461948266752000 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 461948266752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977124517125120).

461948266752000 is an abundant number, since it is smaller than the sum of its proper divisors (1492300767498240).

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

461948266752000 is a wasteful number, since it uses less digits than its factorization.

461948266752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23395 (or 23358 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 461948266752000 in words is "four hundred sixty-one trillion, nine hundred forty-eight billion, two hundred sixty-six million, seven hundred fifty-two thousand".