46138624320 has 224 divisors, whose sum is σ = 153045688320. Its totient is φ = 11762657280.

The previous prime is 46138624313. The next prime is 46138624349. The reversal of 46138624320 is 2342683164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2460741 + ... + 2479419.

It is an arithmetic number, because the mean of its divisors is an integer number (683239680).

Almost surely, 2^46138624320 is an apocalyptic number.

46138624320 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 46138624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76522844160).

46138624320 is an abundant number, since it is smaller than the sum of its proper divisors (106907064000).

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

46138624320 is a wasteful number, since it uses less digits than its factorization.

46138624320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18813 (or 18803 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 46138624320 in words is "forty-six billion, one hundred thirty-eight million, six hundred twenty-four thousand, three hundred twenty".