45238201344 has 264 divisors, whose sum is σ = 149723278848. Its totient is φ = 12887285760.

The previous prime is 45238201319. The next prime is 45238201361. The reversal of 45238201344 is 44310283254.

45238201344 is a `hidden beast` number, since 4 + 523 + 82 + 0 + 13 + 44 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45238201299 and 45238201308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27803859 + ... + 27805485.

It is an arithmetic number, because the mean of its divisors is an integer number (567133632).

Almost surely, 2^45238201344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45238201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74861639424).

45238201344 is an abundant number, since it is smaller than the sum of its proper divisors (104485077504).

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

45238201344 is a wasteful number, since it uses less digits than its factorization.

45238201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 45238201344 its reverse (44310283254), we get a palindrome (89548484598).

The spelling of 45238201344 in words is "forty-five billion, two hundred thirty-eight million, two hundred one thousand, three hundred forty-four".