46096714752 has 352 divisors, whose sum is σ = 146865208320. Its totient is φ = 12689080320.

The previous prime is 46096714751. The next prime is 46096714759. The reversal of 46096714752 is 25741769064.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×46096714752² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 46096714695 and 46096714704.

It is not an unprimeable number, because it can be changed into a prime (46096714751) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16658073 + ... + 16660839.

Almost surely, 2^46096714752 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 46096714752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73432604160).

46096714752 is an abundant number, since it is smaller than the sum of its proper divisors (100768493568).

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

46096714752 is a wasteful number, since it uses less digits than its factorization.

46096714752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 46096714752 in words is "forty-six billion, ninety-six million, seven hundred fourteen thousand, seven hundred fifty-two".