46115232576 has 224 divisors, whose sum is σ = 153166632960. Its totient is φ = 11939457024.

The previous prime is 46115232533. The next prime is 46115232577. The reversal of 46115232576 is 67523251164.

46115232576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×46115232576² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46115232577) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548070 + ... + 626586.

Almost surely, 2^46115232576 is an apocalyptic number.

46115232576 is a gapful number since it is divisible by the number (46) 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 46115232576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76583316480).

46115232576 is an abundant number, since it is smaller than the sum of its proper divisors (107051400384).

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

46115232576 is a wasteful number, since it uses less digits than its factorization.

46115232576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78581 (or 78571 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The spelling of 46115232576 in words is "forty-six billion, one hundred fifteen million, two hundred thirty-two thousand, five hundred seventy-six".