461956579488 has 120 divisors (see below), whose sum is σ = 1363240574388. Its totient is φ = 153459726336.

The previous prime is 461956579453. The next prime is 461956579489. The reversal of 461956579488 is 884975659164.

461956579488 is a `hidden beast` number, since 4 + 6 + 1 + 9 + 5 + 6 + 579 + 48 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 461133348624 + 823230864 = 679068^2 + 28692^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (461956579489) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 455320 + ... + 1063592.

Almost surely, 2^461956579488 is an apocalyptic number.

461956579488 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 461956579488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681620287194).

461956579488 is an abundant number, since it is smaller than the sum of its proper divisors (901283994900).

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

461956579488 is a wasteful number, since it uses less digits than its factorization.

461956579488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608588 (or 608571 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 72.

The spelling of 461956579488 in words is "four hundred sixty-one billion, nine hundred fifty-six million, five hundred seventy-nine thousand, four hundred eighty-eight".