10421688146544 has 200 divisors, whose sum is σ = 30292381734912. Its totient is φ = 3459058473600.

The previous prime is 10421688146543. The next prime is 10421688146593. The reversal of 10421688146544 is 44564188612401.

10421688146544 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 1 + 6 + 88 + 14 + 6 + 544 = 666.

It is a super-2 number, since 2×10421688146544² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10421688146543) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 532170577 + ... + 532190159.

Almost surely, 2^{10421688146544} 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 10421688146544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15146190867456).

10421688146544 is an abundant number, since it is smaller than the sum of its proper divisors (19870693588368).

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

10421688146544 is a wasteful number, since it uses less digits than its factorization.

10421688146544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21337 (or 21322 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 10421688146544 in words is "ten trillion, four hundred twenty-one billion, six hundred eighty-eight million, one hundred forty-six thousand, five hundred forty-four".