45361463400 has 384 divisors, whose sum is σ = 172159516800. Its totient is φ = 10886400000.

The previous prime is 45361463369. The next prime is 45361463419. The reversal of 45361463400 is 436416354.

45361463400 is a `hidden beast` number, since 4 + 5 + 3 + 6 + 14 + 634 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5995620 + ... + 6003180.

It is an arithmetic number, because the mean of its divisors is an integer number (448332075).

Almost surely, 2^45361463400 is an apocalyptic number.

45361463400 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 45361463400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86079758400).

45361463400 is an abundant number, since it is smaller than the sum of its proper divisors (126798053400).

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

45361463400 is a wasteful number, since it uses less digits than its factorization.

45361463400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7698 (or 7683 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 45361463400 its reverse (436416354), we get a palindrome (45797879754).

The spelling of 45361463400 in words is "forty-five billion, three hundred sixty-one million, four hundred sixty-three thousand, four hundred".