10499351806944 has 1728 divisors, whose sum is σ = 41777105190912. Its totient is φ = 2458062028800.

The previous prime is 10499351806897. The next prime is 10499351806997. The reversal of 10499351806944 is 44960815399401.

10499351806944 is a `hidden beast` number, since 1 + 0 + 499 + 3 + 5 + 1 + 80 + 69 + 4 + 4 = 666.

It is a super-2 number, since 2×10499351806944² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18196449984 + ... + 18196450560.

It is an arithmetic number, because the mean of its divisors is an integer number (24176565504).

Almost surely, 2^{10499351806944} is an apocalyptic number.

10499351806944 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 10499351806944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20888552595456).

10499351806944 is an abundant number, since it is smaller than the sum of its proper divisors (31277753383968).

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

10499351806944 is a wasteful number, since it uses less digits than its factorization.

10499351806944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 10499351806944 in words is "ten trillion, four hundred ninety-nine billion, three hundred fifty-one million, eight hundred six thousand, nine hundred forty-four".