1514441157012 has 216 divisors, whose sum is σ = 4553372678400. Its totient is φ = 423068510592.

The previous prime is 1514441156953. The next prime is 1514441157037. The reversal of 1514441157012 is 2107511444151.

1514441157012 is a `hidden beast` number, since 1 + 5 + 1 + 44 + 41 + 1 + 570 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14300914 + ... + 14406422.

Almost surely, 2^{1514441157012} is an apocalyptic number.

1514441157012 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 1514441157012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276686339200).

1514441157012 is an abundant number, since it is smaller than the sum of its proper divisors (3038931521388).

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

1514441157012 is a wasteful number, since it uses less digits than its factorization.

1514441157012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105715 (or 105703 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 1514441157012 in words is "one trillion, five hundred fourteen billion, four hundred forty-one million, one hundred fifty-seven thousand, twelve".