1614399144960 has 352 divisors, whose sum is σ = 5911489704960. Its totient is φ = 368362487808.

The previous prime is 1614399144949. The next prime is 1614399144983. The reversal of 1614399144960 is 694419934161.

It is a self number, because there is not a number n which added to its sum of digits gives 1614399144960.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63101451 + ... + 63127029.

Almost surely, 2^{1614399144960} is an apocalyptic number.

1614399144960 is a gapful number since it is divisible by the number (10) 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 1614399144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955744852480).

1614399144960 is an abundant number, since it is smaller than the sum of its proper divisors (4297090560000).

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

1614399144960 is a wasteful number, since it uses less digits than its factorization.

1614399144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26201 (or 26183 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 57.

The spelling of 1614399144960 in words is "one trillion, six hundred fourteen billion, three hundred ninety-nine million, one hundred forty-four thousand, nine hundred sixty".