461500374144 has 512 divisors, whose sum is σ = 1400497862400. Its totient is φ = 133772083200.

The previous prime is 461500374143. The next prime is 461500374187. The reversal of 461500374144 is 441473005164.

It is a super-3 number, since 3×461500374144³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (461500374143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1369437144 + ... + 1369437480.

Almost surely, 2^461500374144 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 461500374144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700248931200).

461500374144 is an abundant number, since it is smaller than the sum of its proper divisors (938997488256).

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

461500374144 is a wasteful number, since it uses less digits than its factorization.

461500374144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 461500374144 in words is "four hundred sixty-one billion, five hundred million, three hundred seventy-four thousand, one hundred forty-four".