1014964088160 has 288 divisors, whose sum is σ = 3520176631776. Its totient is φ = 245634048000.

The previous prime is 1014964088143. The next prime is 1014964088167. The reversal of 1014964088160 is 618804694101.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014964088167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34891542 + ... + 34920618.

It is an arithmetic number, because the mean of its divisors is an integer number (12222835527).

Almost surely, 2^{1014964088160} is an apocalyptic number.

1014964088160 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 1014964088160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760088315888).

1014964088160 is an abundant number, since it is smaller than the sum of its proper divisors (2505212543616).

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

1014964088160 is a wasteful number, since it uses less digits than its factorization.

1014964088160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29718 (or 29699 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 1014964088160 in words is "one trillion, fourteen billion, nine hundred sixty-four million, eighty-eight thousand, one hundred sixty".