45342132000 has 768 divisors, whose sum is σ = 173224396800. Its totient is φ = 10252800000.

The previous prime is 45342131993. The next prime is 45342132023. The reversal of 45342132000 is 23124354.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 253307911 + ... + 253308089.

It is an arithmetic number, because the mean of its divisors is an integer number (225552600).

Almost surely, 2^45342132000 is an apocalyptic number.

45342132000 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 45342132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86612198400).

45342132000 is an abundant number, since it is smaller than the sum of its proper divisors (127882264800).

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

45342132000 is a wasteful number, since it uses less digits than its factorization.

45342132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 45342132000 its reverse (23124354), we get a palindrome (45365256354).

The spelling of 45342132000 in words is "forty-five billion, three hundred forty-two million, one hundred thirty-two thousand".