46383240960 has 432 divisors, whose sum is σ = 187893800640. Its totient is φ = 10342563840.

The previous prime is 46383240923. The next prime is 46383240991. The reversal of 46383240960 is 6904238364.

46383240960 is a `hidden beast` number, since 4 + 638 + 3 + 2 + 4 + 0 + 9 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3299226 + ... + 3313254.

Almost surely, 2^46383240960 is an apocalyptic number.

46383240960 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 46383240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93946900320).

46383240960 is an abundant number, since it is smaller than the sum of its proper divisors (141510559680).

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

46383240960 is a wasteful number, since it uses less digits than its factorization.

46383240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14104 (or 14087 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 46383240960 in words is "forty-six billion, three hundred eighty-three million, two hundred forty thousand, nine hundred sixty".