45938304000 has 264 divisors, whose sum is σ = 165546179448. Its totient is φ = 12249907200.

The previous prime is 45938303989. The next prime is 45938304007. The reversal of 45938304000 is 40383954.

It can be written as a sum of positive squares in 4 ways, for example, as 7283598336 + 38654705664 = 85344^2 + 196608^2 .

It is a super-2 number, since 2×45938304000² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (45938304007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1132062 + ... + 1171938.

Almost surely, 2^45938304000 is an apocalyptic number.

45938304000 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 45938304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82773089724).

45938304000 is an abundant number, since it is smaller than the sum of its proper divisors (119607875448).

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

45938304000 is a wasteful number, since it uses less digits than its factorization.

45938304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39918 (or 39887 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 45938304000 its reverse (40383954), we get a palindrome (45978687954).

The spelling of 45938304000 in words is "forty-five billion, nine hundred thirty-eight million, three hundred four thousand".