46125346752 has 112 divisors (see below), whose sum is σ = 136289308320. Its totient is φ = 15296956416.

The previous prime is 46125346723. The next prime is 46125346759. The reversal of 46125346752 is 25764352164.

46125346752 is a `hidden beast` number, since 4 + 6 + 1 + 2 + 534 + 67 + 52 = 666.

It is a super-2 number, since 2×46125346752² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46125346698 and 46125346707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46125346759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272668 + ... + 408164.

Almost surely, 2^46125346752 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 46125346752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68144654160).

46125346752 is an abundant number, since it is smaller than the sum of its proper divisors (90163961568).

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

46125346752 is a wasteful number, since it uses less digits than its factorization.

46125346752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135715 (or 135699 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 46125346752 in words is "forty-six billion, one hundred twenty-five million, three hundred forty-six thousand, seven hundred fifty-two".