46249958160 has 720 divisors, whose sum is σ = 187179662592. Its totient is φ = 10020741120.

The previous prime is 46249958101. The next prime is 46249958179. The reversal of 46249958160 is 6185994264.

46249958160 is a `hidden beast` number, since 4 + 624 + 9 + 9 + 5 + 8 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 46249958097 and 46249958106.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 449028669 + ... + 449028771.

Almost surely, 2^46249958160 is an apocalyptic number.

46249958160 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 46249958160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93589831296).

46249958160 is an abundant number, since it is smaller than the sum of its proper divisors (140929704432).

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

46249958160 is a wasteful number, since it uses less digits than its factorization.

46249958160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 46249958160 in words is "forty-six billion, two hundred forty-nine million, nine hundred fifty-eight thousand, one hundred sixty".