10613417472 has 320 divisors, whose sum is σ = 36462666240. Its totient is φ = 2985320448.

The previous prime is 10613417467. The next prime is 10613417491. The reversal of 10613417472 is 27471431601.

It is a super-2 number, since 2×10613417472² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 6482638 + ... + 6484274.

It is an arithmetic number, because the mean of its divisors is an integer number (113945832).

Almost surely, 2^10613417472 is an apocalyptic number.

10613417472 is a gapful number since it is divisible by the number (12) 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 10613417472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18231333120).

10613417472 is an abundant number, since it is smaller than the sum of its proper divisors (25849248768).

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

10613417472 is an equidigital number, since it uses as much as digits as its factorization.

10613417472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10613417472 in words is "ten billion, six hundred thirteen million, four hundred seventeen thousand, four hundred seventy-two".