46138650624 has 832 divisors, whose sum is σ = 166451604480. Its totient is φ = 12457082880.

The previous prime is 46138650619. The next prime is 46138650629. The reversal of 46138650624 is 42605683164.

46138650624 is a `hidden beast` number, since 4 + 6 + 13 + 8 + 6 + 5 + 0 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (46138650619) and next prime (46138650629).

It is a self number, because there is not a number n which added to its sum of digits gives 46138650624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46138650629) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 475656144 + ... + 475656240.

Almost surely, 2^46138650624 is an apocalyptic number.

46138650624 is a gapful number since it is divisible by the number (44) 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 46138650624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83225802240).

46138650624 is an abundant number, since it is smaller than the sum of its proper divisors (120312953856).

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

46138650624 is a wasteful number, since it uses less digits than its factorization.

46138650624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 46138650624 in words is "forty-six billion, one hundred thirty-eight million, six hundred fifty thousand, six hundred twenty-four".