46514880663552 has 468 divisors, whose sum is σ = 156661490097216. Its totient is φ = 13258908794880.

The previous prime is 46514880663547. The next prime is 46514880663611. The reversal of 46514880663552 is 25536608841564.

46514880663552 is a `hidden beast` number, since 4 + 6 + 5 + 14 + 8 + 8 + 0 + 6 + 63 + 552 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 46514880663552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 778500943 + ... + 778560689.

It is an arithmetic number, because the mean of its divisors is an integer number (334746773712).

Almost surely, 2^{46514880663552} is an apocalyptic number.

46514880663552 is a gapful number since it is divisible by the number (42) 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 46514880663552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78330745048608).

46514880663552 is an abundant number, since it is smaller than the sum of its proper divisors (110146609433664).

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

46514880663552 is a wasteful number, since it uses less digits than its factorization.

46514880663552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60222 (or 60190 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 46514880663552 in words is "forty-six trillion, five hundred fourteen billion, eight hundred eighty million, six hundred sixty-three thousand, five hundred fifty-two".