144692456900 has 18 divisors (see below), whose sum is σ = 313982631690. Its totient is φ = 57876982720.

The previous prime is 144692456899. The next prime is 144692456963. The reversal of 144692456900 is 9654296441.

It can be written as a sum of positive squares in 3 ways, for example, as 16293501316 + 128398955584 = 127646^2 + 358328^2 .

It is a super-2 number, since 2×144692456900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 723462185 + ... + 723462384.

Almost surely, 2^144692456900 is an apocalyptic number.

144692456900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144692456900 is an abundant number, since it is smaller than the sum of its proper divisors (169290174790).

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

144692456900 is a wasteful number, since it uses less digits than its factorization.

144692456900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446924583 (or 1446924576 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 50.

The spelling of 144692456900 in words is "one hundred forty-four billion, six hundred ninety-two million, four hundred fifty-six thousand, nine hundred".