1263514164120 has 768 divisors, whose sum is σ = 4930479590400. Its totient is φ = 277601955840.

The previous prime is 1263514164109. The next prime is 1263514164167. The reversal of 1263514164120 is 214614153621.

1263514164120 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 5 + 1 + 4 + 1 + 641 + 2 + 0 = 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 137021110 + ... + 137030330.

It is an arithmetic number, because the mean of its divisors is an integer number (6419895300).

Almost surely, 2^{1263514164120} is an apocalyptic number.

1263514164120 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 1263514164120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465239795200).

1263514164120 is an abundant number, since it is smaller than the sum of its proper divisors (3666965426280).

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

1263514164120 is a wasteful number, since it uses less digits than its factorization.

1263514164120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9360 (or 9353 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1263514164120 in words is "one trillion, two hundred sixty-three billion, five hundred fourteen million, one hundred sixty-four thousand, one hundred twenty".