46563841263632 has 960 divisors, whose sum is σ = 125648229998592. Its totient is φ = 16466558976000.

The previous prime is 46563841263607. The next prime is 46563841263661. The reversal of 46563841263632 is 23636214836564.

It is a happy number.

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 108036754457 + ... + 108036754887.

Almost surely, 2^{46563841263632} 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 46563841263632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62824114999296).

46563841263632 is an abundant number, since it is smaller than the sum of its proper divisors (79084388734960).

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

46563841263632 is a wasteful number, since it uses less digits than its factorization.

46563841263632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 743 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 59.

The spelling of 46563841263632 in words is "forty-six trillion, five hundred sixty-three billion, eight hundred forty-one million, two hundred sixty-three thousand, six hundred thirty-two".