46032381120 has 224 divisors, whose sum is σ = 164583806976. Its totient is φ = 10799308800.

The previous prime is 46032381097. The next prime is 46032381137. The reversal of 46032381120 is 2118323064.

It is a super-2 number, since 2×46032381120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 257052 + ... + 397668.

Almost surely, 2^46032381120 is an apocalyptic number.

46032381120 is a gapful number since it is divisible by the number (40) 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 46032381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82291903488).

46032381120 is an abundant number, since it is smaller than the sum of its proper divisors (118551425856).

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

46032381120 is a wasteful number, since it uses less digits than its factorization.

46032381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140679 (or 140669 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 46032381120 in words is "forty-six billion, thirty-two million, three hundred eighty-one thousand, one hundred twenty".