46124305920 has 480 divisors, whose sum is σ = 199165824000. Its totient is φ = 9583902720.

The previous prime is 46124305889. The next prime is 46124305933. The reversal of 46124305920 is 2950342164.

It is a happy number.

46124305920 is a `hidden beast` number, since 4 + 61 + 2 + 4 + 3 + 0 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1761081 + ... + 1787079.

It is an arithmetic number, because the mean of its divisors is an integer number (414928800).

Almost surely, 2^46124305920 is an apocalyptic number.

46124305920 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 46124305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99582912000).

46124305920 is an abundant number, since it is smaller than the sum of its proper divisors (153041518080).

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

46124305920 is a wasteful number, since it uses less digits than its factorization.

46124305920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26046 (or 26027 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 46124305920 in words is "forty-six billion, one hundred twenty-four million, three hundred five thousand, nine hundred twenty".