46148304960 has 336 divisors, whose sum is σ = 165941508096. Its totient is φ = 12206702592.

The previous prime is 46148304959. The next prime is 46148305001. The reversal of 46148304960 is 6940384164.

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, 9873184 + ... + 9877856.

It is an arithmetic number, because the mean of its divisors is an integer number (493873536).

Almost surely, 2^46148304960 is an apocalyptic number.

46148304960 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 46148304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82970754048).

46148304960 is an abundant number, since it is smaller than the sum of its proper divisors (119793203136).

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

46148304960 is a wasteful number, since it uses less digits than its factorization.

46148304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 46148304960 in words is "forty-six billion, one hundred forty-eight million, three hundred four thousand, nine hundred sixty".