46081108752 has 320 divisors, whose sum is σ = 146550620160. Its totient is φ = 12178833408.

The previous prime is 46081108751. The next prime is 46081108831. The reversal of 46081108752 is 25780118064.

46081108752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (46081108751) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100833708 + ... + 100834164.

It is an arithmetic number, because the mean of its divisors is an integer number (457970688).

Almost surely, 2^46081108752 is an apocalyptic number.

46081108752 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 46081108752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73275310080).

46081108752 is an abundant number, since it is smaller than the sum of its proper divisors (100469511408).

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

46081108752 is a wasteful number, since it uses less digits than its factorization.

46081108752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 46081108752 in words is "forty-six billion, eighty-one million, one hundred eight thousand, seven hundred fifty-two".