155614470400 has 81 divisors (see below), whose sum is σ = 385248256813. Its totient is φ = 62233164800.

The previous prime is 155614470317. The next prime is 155614470421. The reversal of 155614470400 is 4074416551.

The square root of 155614470400 is 394480.

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., 56021209344 + 99593261056 = 236688^2 + 315584^2 .

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 155614470400.

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 8 ways as a sum of consecutive naturals, for example, 31555935 + ... + 31560865.

Almost surely, 2^155614470400 is an apocalyptic number.

155614470400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

155614470400 is the 394480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155614470400

155614470400 is an abundant number, since it is smaller than the sum of its proper divisors (229633786413).

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

155614470400 is an frugal number, since it uses more digits than its factorization.

155614470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9888 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

Adding to 155614470400 its reverse (4074416551), we get a palindrome (159688886951).

The spelling of 155614470400 in words is "one hundred fifty-five billion, six hundred fourteen million, four hundred seventy thousand, four hundred".