5145635376 has 320 divisors, whose sum is σ = 17363174400. Its totient is φ = 1428793344.

The previous prime is 5145635357. The next prime is 5145635441. The reversal of 5145635376 is 6735365415.

5145635376 is a `hidden beast` number, since 5 + 1 + 4 + 5 + 635 + 3 + 7 + 6 = 666.

It is a super-2 number, since 2×5145635376² = 52955126845485322752, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22084156 + ... + 22084388.

It is an arithmetic number, because the mean of its divisors is an integer number (54259920).

Almost surely, 2^5145635376 is an apocalyptic number.

5145635376 is a gapful number since it is divisible by the number (56) 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 5145635376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8681587200).

5145635376 is an abundant number, since it is smaller than the sum of its proper divisors (12217539024).

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

5145635376 is a wasteful number, since it uses less digits than its factorization.

5145635376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 421 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 45.

The square root of 5145635376 is about 71733.0842498773. The cubic root of 5145635376 is about 1726.4195135943.

The spelling of 5145635376 in words is "five billion, one hundred forty-five million, six hundred thirty-five thousand, three hundred seventy-six".