45213152400 has 960 divisors, whose sum is σ = 193350124800. Its totient is φ = 9913466880.

The previous prime is 45213152399. The next prime is 45213152431. The reversal of 45213152400 is 425131254.

45213152400 is a `hidden beast` number, since 4 + 5 + 2 + 131 + 524 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45348702 + ... + 45349698.

It is an arithmetic number, because the mean of its divisors is an integer number (201406380).

Almost surely, 2^45213152400 is an apocalyptic number.

45213152400 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 45213152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96675062400).

45213152400 is an abundant number, since it is smaller than the sum of its proper divisors (148136972400).

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

45213152400 is a wasteful number, since it uses less digits than its factorization.

45213152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 45213152400 its reverse (425131254), we get a palindrome (45638283654).

The spelling of 45213152400 in words is "forty-five billion, two hundred thirteen million, one hundred fifty-two thousand, four hundred".