10346817690 has 240 divisors, whose sum is σ = 30780759240. Its totient is φ = 2491948800.

The previous prime is 10346817659. The next prime is 10346817709. The reversal of 10346817690 is 9671864301.

It is a happy number.

10346817690 is a `hidden beast` number, since 10 + 3 + 468 + 176 + 9 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9470598489 + 876219201 = 97317^2 + 29601^2 .

It is a super-2 number, since 2×10346817690² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22444060 + ... + 22444520.

Almost surely, 2^10346817690 is an apocalyptic number.

10346817690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10346817690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15390379620).

10346817690 is an abundant number, since it is smaller than the sum of its proper divisors (20433941550).

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

10346817690 is a wasteful number, since it uses less digits than its factorization.

10346817690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10346817690 in words is "ten billion, three hundred forty-six million, eight hundred seventeen thousand, six hundred ninety".