914547942400 has 297 divisors, whose sum is σ = 2337735129561. Its totient is φ = 354741166080.

The previous prime is 914547942367. The next prime is 914547942419. The reversal of 914547942400 is 4249745419.

The square root of 914547942400 is 956320.

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., 329237259264 + 585310683136 = 573792^2 + 765056^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 6579481531 + ... + 6579481669.

Almost surely, 2^914547942400 is an apocalyptic number.

914547942400 is the 956320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 914547942400

914547942400 is an abundant number, since it is smaller than the sum of its proper divisors (1423187187161).

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

914547942400 is an equidigital number, since it uses as much as digits as its factorization.

914547942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 914547942400 by its sum of digits (49), we get a square (44812849177600 = 6694240²).

The spelling of 914547942400 in words is "nine hundred fourteen billion, five hundred forty-seven million, nine hundred forty-two thousand, four hundred".