44964738000 has 960 divisors, whose sum is σ = 195971123712. Its totient is φ = 9356083200.

The previous prime is 44964737963. The next prime is 44964738001. The reversal of 44964738000 is 83746944.

44964738000 is a `hidden beast` number, since 449 + 64 + 73 + 80 + 0 + 0 = 666.

44964738000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44964738001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 158885859 + ... + 158886141.

Almost surely, 2^44964738000 is an apocalyptic number.

44964738000 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 44964738000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97985561856).

44964738000 is an abundant number, since it is smaller than the sum of its proper divisors (151006385712).

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

44964738000 is a wasteful number, since it uses less digits than its factorization.

44964738000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 44964738000 in words is "forty-four billion, nine hundred sixty-four million, seven hundred thirty-eight thousand".