1013626180224 has 384 divisors, whose sum is σ = 3549458016000. Its totient is φ = 277013366784.

The previous prime is 1013626180207. The next prime is 1013626180241. The reversal of 1013626180224 is 4220816263101.

It is a happy number.

1013626180224 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 626 + 1 + 8 + 0 + 2 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (1013626180207) and next prime (1013626180241).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9032362 + ... + 9143894.

It is an arithmetic number, because the mean of its divisors is an integer number (9243380250).

Almost surely, 2^{1013626180224} is an apocalyptic number.

1013626180224 is a gapful number since it is divisible by the number (14) 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 1013626180224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774729008000).

1013626180224 is an abundant number, since it is smaller than the sum of its proper divisors (2535831835776).

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

1013626180224 is a wasteful number, since it uses less digits than its factorization.

1013626180224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111597 (or 111568 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1013626180224 in words is "one trillion, thirteen billion, six hundred twenty-six million, one hundred eighty thousand, two hundred twenty-four".