1314854129952 has 288 divisors, whose sum is σ = 4136025426624. Its totient is φ = 392903884800.

The previous prime is 1314854129899. The next prime is 1314854129977. The reversal of 1314854129952 is 2599214584131.

1314854129952 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 8 + 541 + 2 + 9 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86342563 + ... + 86357789.

It is an arithmetic number, because the mean of its divisors is an integer number (14361199398).

Almost surely, 2^{1314854129952} is an apocalyptic number.

1314854129952 is a gapful number since it is divisible by the number (12) 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 1314854129952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068012713312).

1314854129952 is an abundant number, since it is smaller than the sum of its proper divisors (2821171296672).

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

1314854129952 is a wasteful number, since it uses less digits than its factorization.

1314854129952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15632 (or 15621 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 1314854129952 in words is "one trillion, three hundred fourteen billion, eight hundred fifty-four million, one hundred twenty-nine thousand, nine hundred fifty-two".