1014551959680 has 768 divisors, whose sum is σ = 4256989551360. Its totient is φ = 217350144000.

The previous prime is 1014551959667. The next prime is 1014551959717. The reversal of 1014551959680 is 869591554101.

It is a happy number.

1014551959680 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 551 + 9 + 5 + 9 + 6 + 80 = 666.

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 95 ways as a sum of consecutive naturals, for example, 172042492 + ... + 172048388.

It is an arithmetic number, because the mean of its divisors is an integer number (5542955145).

Almost surely, 2^{1014551959680} is an apocalyptic number.

1014551959680 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 1014551959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128494775680).

1014551959680 is an abundant number, since it is smaller than the sum of its proper divisors (3242437591680).

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

1014551959680 is a wasteful number, since it uses less digits than its factorization.

1014551959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6197 (or 6182 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 54.

The spelling of 1014551959680 in words is "one trillion, fourteen billion, five hundred fifty-one million, nine hundred fifty-nine thousand, six hundred eighty".