10642249819656 has 384 divisors, whose sum is σ = 36613398528000. Its totient is φ = 2804466592512.

The previous prime is 10642249819601. The next prime is 10642249819657. The reversal of 10642249819656 is 65691894224601.

10642249819656 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 2 + 2 + 498 + 1 + 96 + 56 = 666.

It is a super-2 number, since 2×10642249819656² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 10642249819593 and 10642249819602.

It is not an unprimeable number, because it can be changed into a prime (10642249819657) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 326804031 + ... + 326836593.

It is an arithmetic number, because the mean of its divisors is an integer number (95347392000).

Almost surely, 2^{10642249819656} 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 10642249819656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18306699264000).

10642249819656 is an abundant number, since it is smaller than the sum of its proper divisors (25971148708344).

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

10642249819656 is a wasteful number, since it uses less digits than its factorization.

10642249819656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33890 (or 33867 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 10642249819656 in words is "ten trillion, six hundred forty-two billion, two hundred forty-nine million, eight hundred nineteen thousand, six hundred fifty-six".