46914150960 has 240 divisors, whose sum is σ = 166393992960. Its totient is φ = 11812815360.

The previous prime is 46914150949. The next prime is 46914150971. The reversal of 46914150960 is 6905141964.

It is a happy number.

46914150960 is a `hidden beast` number, since 46 + 9 + 1 + 41 + 509 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (46914150949) and next prime (46914150971).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 4248967 + ... + 4259993.

It is an arithmetic number, because the mean of its divisors is an integer number (693308304).

Almost surely, 2^46914150960 is an apocalyptic number.

46914150960 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 46914150960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83196996480).

46914150960 is an abundant number, since it is smaller than the sum of its proper divisors (119479842000).

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

46914150960 is a wasteful number, since it uses less digits than its factorization.

46914150960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11376 (or 11367 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 46914150960 in words is "forty-six billion, nine hundred fourteen million, one hundred fifty thousand, nine hundred sixty".