44634643045632 has 432 divisors, whose sum is σ = 137173322220480. Its totient is φ = 14464775356416.

The previous prime is 44634643045631. The next prime is 44634643045637. The reversal of 44634643045632 is 23654034643644.

44634643045632 is a `hidden beast` number, since 4 + 4 + 6 + 3 + 46 + 4 + 30 + 4 + 563 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44634643045631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3243082783 + ... + 3243096545.

Almost surely, 2^{44634643045632} 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 44634643045632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68586661110240).

44634643045632 is an abundant number, since it is smaller than the sum of its proper divisors (92538679174848).

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

44634643045632 is a wasteful number, since it uses less digits than its factorization.

44634643045632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15240 (or 15214 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 54.

The spelling of 44634643045632 in words is "forty-four trillion, six hundred thirty-four billion, six hundred forty-three million, forty-five thousand, six hundred thirty-two".