10623614506101 has 48 divisors (see below), whose sum is σ = 15632441510400. Its totient is φ = 6950871035136.

The previous prime is 10623614506091. The next prime is 10623614506117. The reversal of 10623614506101 is 10160541632601.

10623614506101 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 36 + 1 + 4 + 5 + 0 + 610 + 1 = 666.

It is not a de Polignac number, because 10623614506101 - 2¹⁴ = 10623614489717 is a prime.

It is a super-2 number, since 2×10623614506101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10623614506151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145414740 + ... + 145487778.

It is an arithmetic number, because the mean of its divisors is an integer number (325675864800).

Almost surely, 2^{10623614506101} is an apocalyptic number.

It is an amenable number.

10623614506101 is a deficient number, since it is larger than the sum of its proper divisors (5008827004299).

10623614506101 is a wasteful number, since it uses less digits than its factorization.

10623614506101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74210 (or 74207 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10623614506101 in words is "ten trillion, six hundred twenty-three billion, six hundred fourteen million, five hundred six thousand, one hundred one".