46903128888000 has 3584 divisors, whose sum is σ = 208286567424000. Its totient is φ = 9205088256000.

The previous prime is 46903128887933. The next prime is 46903128888041. The reversal of 46903128888000 is 88882130964.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 139178423832 + ... + 139178424168.

Almost surely, 2^{46903128888000} is an apocalyptic number.

46903128888000 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 46903128888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104143283712000).

46903128888000 is an abundant number, since it is smaller than the sum of its proper divisors (161383438536000).

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

46903128888000 is a wasteful number, since it uses less digits than its factorization.

46903128888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 46903128888000 in words is "forty-six trillion, nine hundred three billion, one hundred twenty-eight million, eight hundred eighty-eight thousand".