4813152376032 has 2688 divisors, whose sum is σ = 20197347287040. Its totient is φ = 1088391168000.

The previous prime is 4813152376013. The next prime is 4813152376051. The reversal of 4813152376032 is 2306732513184.

4813152376032 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 1 + 5 + 2 + 37 + 603 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4813152376013) and next prime (4813152376051).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 44157361194 + ... + 44157361302.

It is an arithmetic number, because the mean of its divisors is an integer number (7513894080).

Almost surely, 2^{4813152376032} is an apocalyptic number.

4813152376032 is a gapful number since it is divisible by the number (42) 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 4813152376032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10098673643520).

4813152376032 is an abundant number, since it is smaller than the sum of its proper divisors (15384194911008).

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

4813152376032 is a wasteful number, since it uses less digits than its factorization.

4813152376032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 4813152376032 in words is "four trillion, eight hundred thirteen billion, one hundred fifty-two million, three hundred seventy-six thousand, thirty-two".