45467714000 has 80 divisors (see below), whose sum is σ = 110093280960. Its totient is φ = 18161884800.

The previous prime is 45467713997. The next prime is 45467714009. The reversal of 45467714000 is 41776454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45467714009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1462619 + ... + 1493381.

It is an arithmetic number, because the mean of its divisors is an integer number (1376166012).

Almost surely, 2^45467714000 is an apocalyptic number.

45467714000 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 45467714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55046640480).

45467714000 is an abundant number, since it is smaller than the sum of its proper divisors (64625566960).

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

45467714000 is a wasteful number, since it uses less digits than its factorization.

45467714000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31525 (or 31509 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The spelling of 45467714000 in words is "forty-five billion, four hundred sixty-seven million, seven hundred fourteen thousand".