45614023000 has 256 divisors, whose sum is σ = 131786403840. Its totient is φ = 14390208000.

The previous prime is 45614022983. The next prime is 45614023003. The reversal of 45614023000 is 32041654.

45614023000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (45614023003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39220419 + ... + 39221581.

It is an arithmetic number, because the mean of its divisors is an integer number (514790640).

Almost surely, 2^45614023000 is an apocalyptic number.

45614023000 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 45614023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65893201920).

45614023000 is an abundant number, since it is smaller than the sum of its proper divisors (86172380840).

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

45614023000 is a wasteful number, since it uses less digits than its factorization.

45614023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 45614023000 its reverse (32041654), we get a palindrome (45646064654).

The spelling of 45614023000 in words is "forty-five billion, six hundred fourteen million, twenty-three thousand".