46861512576 has 256 divisors, whose sum is σ = 131019571200. Its totient is φ = 14822922240.

The previous prime is 46861512547. The next prime is 46861512589. The reversal of 46861512576 is 67521516864.

It is a happy number.

46861512576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

Its product of digits (2419200) is a multiple of the sum of its prime divisors (525).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210141201 + ... + 210141423.

It is an arithmetic number, because the mean of its divisors is an integer number (511795200).

Almost surely, 2^46861512576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46861512576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65509785600).

46861512576 is an abundant number, since it is smaller than the sum of its proper divisors (84158058624).

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

46861512576 is a wasteful number, since it uses less digits than its factorization.

46861512576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 525 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 51.

The spelling of 46861512576 in words is "forty-six billion, eight hundred sixty-one million, five hundred twelve thousand, five hundred seventy-six".