45394556400 has 180 divisors, whose sum is σ = 157714630320. Its totient is φ = 12091161600.

The previous prime is 45394556329. The next prime is 45394556407. The reversal of 45394556400 is 465549354.

45394556400 is a `hidden beast` number, since 4 + 5 + 3 + 94 + 556 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45394556407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3301540 + ... + 3315260.

Almost surely, 2^45394556400 is an apocalyptic number.

45394556400 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 45394556400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78857315160).

45394556400 is an abundant number, since it is smaller than the sum of its proper divisors (112320073920).

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

45394556400 is a wasteful number, since it uses less digits than its factorization.

45394556400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14664 (or 14650 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 45394556400 in words is "forty-five billion, three hundred ninety-four million, five hundred fifty-six thousand, four hundred".