45741525039000 has 1536 divisors, whose sum is σ = 189582106521600. Its totient is φ = 10167723417600.

The previous prime is 45741525038947. The next prime is 45741525039029. The reversal of 45741525039000 is 93052514754.

45741525039000 is a `hidden beast` number, since 4 + 5 + 7 + 4 + 1 + 5 + 250 + 390 + 0 + 0 = 666.

It is a super-2 number, since 2×45741525039000² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10135500744 + ... + 10135505256.

It is an arithmetic number, because the mean of its divisors is an integer number (123425850600).

Almost surely, 2^{45741525039000} is an apocalyptic number.

45741525039000 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 45741525039000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94791053260800).

45741525039000 is an abundant number, since it is smaller than the sum of its proper divisors (143840581482600).

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

45741525039000 is a wasteful number, since it uses less digits than its factorization.

45741525039000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4767 (or 4740 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 45741525039000 in words is "forty-five trillion, seven hundred forty-one billion, five hundred twenty-five million, thirty-nine thousand".