45141532000 has 96 divisors (see below), whose sum is σ = 111105618624. Its totient is φ = 18025216000.

The previous prime is 45141531973. The next prime is 45141532001. The reversal of 45141532000 is 23514154.

It is a happy number.

It is a super-2 number, since 2×45141532000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45141532001) 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, 2362485 + ... + 2381515.

It is an arithmetic number, because the mean of its divisors is an integer number (1157350194).

Almost surely, 2^45141532000 is an apocalyptic number.

45141532000 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 45141532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55552809312).

45141532000 is an abundant number, since it is smaller than the sum of its proper divisors (65964086624).

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

45141532000 is a wasteful number, since it uses less digits than its factorization.

45141532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19649 (or 19631 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 45141532000 in words is "forty-five billion, one hundred forty-one million, five hundred thirty-two thousand".