46948365054240 has 384 divisors, whose sum is σ = 160978387772160. Its totient is φ = 11432713863168.

The previous prime is 46948365054233. The next prime is 46948365054317. The reversal of 46948365054240 is 4245056384964.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 63 ways as a sum of consecutive naturals, for example, 224242087 + ... + 224451353.

It is an arithmetic number, because the mean of its divisors is an integer number (419214551490).

Almost surely, 2^{46948365054240} is an apocalyptic number.

46948365054240 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 46948365054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80489193886080).

46948365054240 is an abundant number, since it is smaller than the sum of its proper divisors (114030022717920).

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

46948365054240 is a wasteful number, since it uses less digits than its factorization.

46948365054240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209684 (or 209676 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 60.

The spelling of 46948365054240 in words is "forty-six trillion, nine hundred forty-eight billion, three hundred sixty-five million, fifty-four thousand, two hundred forty".