46872662316480 has 1792 divisors, whose sum is σ = 224096247889920. Its totient is φ = 8906360832000.

The previous prime is 46872662316419. The next prime is 46872662316533. The reversal of 46872662316480 is 8461326627864.

46872662316480 is a `hidden beast` number, since 4 + 6 + 8 + 7 + 266 + 231 + 64 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 925379155 + ... + 925429805.

It is an arithmetic number, because the mean of its divisors is an integer number (125053709760).

Almost surely, 2^{46872662316480} is an apocalyptic number.

46872662316480 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 46872662316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112048123944960).

46872662316480 is an abundant number, since it is smaller than the sum of its proper divisors (177223585573440).

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

46872662316480 is a wasteful number, since it uses less digits than its factorization.

46872662316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50815 (or 50799 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 46872662316480 in words is "forty-six trillion, eight hundred seventy-two billion, six hundred sixty-two million, three hundred sixteen thousand, four hundred eighty".