45744039000 has 768 divisors, whose sum is σ = 180300556800. Its totient is φ = 10343808000.

The previous prime is 45744038999. The next prime is 45744039013. The reversal of 45744039000 is 93044754.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 156122854 + ... + 156123146.

It is an arithmetic number, because the mean of its divisors is an integer number (234766350).

Almost surely, 2^45744039000 is an apocalyptic number.

45744039000 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 45744039000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90150278400).

45744039000 is an abundant number, since it is smaller than the sum of its proper divisors (134556517800).

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

45744039000 is a wasteful number, since it uses less digits than its factorization.

45744039000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 45744039000 in words is "forty-five billion, seven hundred forty-four million, thirty-nine thousand".