5145991405632 has 1512 divisors, whose sum is σ = 20150130611520. Its totient is φ = 1247320166400.

The previous prime is 5145991405601. The next prime is 5145991405649. The reversal of 5145991405632 is 2365041995415.

It is a happy number.

5145991405632 is a `hidden beast` number, since 5 + 1 + 4 + 599 + 1 + 40 + 5 + 6 + 3 + 2 = 666.

It is a super-2 number, since 2×5145991405632² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4606974738 + ... + 4606975854.

It is an arithmetic number, because the mean of its divisors is an integer number (13326805960).

Almost surely, 2^{5145991405632} 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 5145991405632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10075065305760).

5145991405632 is an abundant number, since it is smaller than the sum of its proper divisors (15004139205888).

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

5145991405632 is a wasteful number, since it uses less digits than its factorization.

5145991405632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 5145991405632 in words is "five trillion, one hundred forty-five billion, nine hundred ninety-one million, four hundred five thousand, six hundred thirty-two".