46074913920 has 384 divisors, whose sum is σ = 182178397440. Its totient is φ = 10511327232.

The previous prime is 46074913897. The next prime is 46074913943. The reversal of 46074913920 is 2931947064.

It is a happy number.

46074913920 is a `hidden beast` number, since 4 + 607 + 4 + 9 + 1 + 39 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46074913897) and next prime (46074913943).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 35359989 + ... + 35361291.

It is an arithmetic number, because the mean of its divisors is an integer number (474422910).

Almost surely, 2^46074913920 is an apocalyptic number.

46074913920 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 46074913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91089198720).

46074913920 is an abundant number, since it is smaller than the sum of its proper divisors (136103483520).

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

46074913920 is a wasteful number, since it uses less digits than its factorization.

46074913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 46074913920 in words is "forty-six billion, seventy-four million, nine hundred thirteen thousand, nine hundred twenty".