45147750400 has 171 divisors, whose sum is σ = 113331450781. Its totient is φ = 17841520640.

The previous prime is 45147750379. The next prime is 45147750409. The reversal of 45147750400 is 405774154.

The square root of 45147750400 is 212480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16253190144 + 28894560256 = 127488^2 + 169984^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45147750400.

It is not an unprimeable number, because it can be changed into a prime (45147750409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 543948759 + ... + 543948841.

Almost surely, 2^45147750400 is an apocalyptic number.

45147750400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

45147750400 is the 212480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45147750400

45147750400 is an abundant number, since it is smaller than the sum of its proper divisors (68183700381).

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

45147750400 is an frugal number, since it uses more digits than its factorization.

45147750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 37.

The spelling of 45147750400 in words is "forty-five billion, one hundred forty-seven million, seven hundred fifty thousand, four hundred".