10351245564 has 180 divisors, whose sum is σ = 29545588800. Its totient is φ = 3053846400.

The previous prime is 10351245539. The next prime is 10351245599. The reversal of 10351245564 is 46554215301.

10351245564 is a `hidden beast` number, since 1 + 0 + 3 + 51 + 2 + 45 + 564 = 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 59 ways as a sum of consecutive naturals, for example, 21609877 + ... + 21610355.

It is an arithmetic number, because the mean of its divisors is an integer number (164142160).

Almost surely, 2^10351245564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10351245564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14772794400).

10351245564 is an abundant number, since it is smaller than the sum of its proper divisors (19194343236).

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

10351245564 is a wasteful number, since it uses less digits than its factorization.

10351245564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 10351245564 in words is "ten billion, three hundred fifty-one million, two hundred forty-five thousand, five hundred sixty-four".