5032461456000 has 1536 divisors, whose sum is σ = 21017893478400. Its totient is φ = 1141730304000.

The previous prime is 5032461455947. The next prime is 5032461456017. The reversal of 5032461456000 is 6541642305.

5032461456000 is a `hidden beast` number, since 5 + 0 + 3 + 2 + 4 + 6 + 1 + 45 + 600 + 0 = 666.

It is a super-2 number, since 2×5032461456000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1712302531 + ... + 1712305469.

It is an arithmetic number, because the mean of its divisors is an integer number (13683524400).

Almost surely, 2^{5032461456000} is an apocalyptic number.

5032461456000 is a gapful number since it is divisible by the number (50) 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 5032461456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10508946739200).

5032461456000 is an abundant number, since it is smaller than the sum of its proper divisors (15985432022400).

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

5032461456000 is a wasteful number, since it uses less digits than its factorization.

5032461456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 5032461456000 in words is "five trillion, thirty-two billion, four hundred sixty-one million, four hundred fifty-six thousand".