1014491225088 has 264 divisors, whose sum is σ = 3198265814016. Its totient is φ = 307167436800.

The previous prime is 1014491225081. The next prime is 1014491225113. The reversal of 1014491225088 is 8805221944101.

1014491225088 is a `hidden beast` number, since 1 + 0 + 1 + 449 + 122 + 5 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014491225081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149120695 + ... + 149127497.

Almost surely, 2^{1014491225088} is an apocalyptic number.

1014491225088 is a gapful number since it is divisible by the number (18) 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 1014491225088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599132907008).

1014491225088 is an abundant number, since it is smaller than the sum of its proper divisors (2183774588928).

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

1014491225088 is a wasteful number, since it uses less digits than its factorization.

1014491225088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8311 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 1014491225088 in words is "one trillion, fourteen billion, four hundred ninety-one million, two hundred twenty-five thousand, eighty-eight".