45071013000 has 512 divisors, whose sum is σ = 157713454080. Its totient is φ = 10644480000.

The previous prime is 45071012983. The next prime is 45071013017. The reversal of 45071013000 is 31017054.

It is an interprime number because it is at equal distance from previous prime (45071012983) and next prime (45071013017).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113528802 + ... + 113529198.

It is an arithmetic number, because the mean of its divisors is an integer number (308034090).

Almost surely, 2^45071013000 is an apocalyptic number.

45071013000 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 45071013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78856727040).

45071013000 is an abundant number, since it is smaller than the sum of its proper divisors (112642441080).

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

45071013000 is a wasteful number, since it uses less digits than its factorization.

45071013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The spelling of 45071013000 in words is "forty-five billion, seventy-one million, thirteen thousand".