13623521940 has 216 divisors, whose sum is σ = 48329229312. Its totient is φ = 3097261440.

The previous prime is 13623521929. The next prime is 13623521959. The reversal of 13623521940 is 4912532631.

13623521940 is a `hidden beast` number, since 1 + 3 + 623 + 5 + 21 + 9 + 4 + 0 = 666.

It is a super-2 number, since 2×13623521940² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13623521895 and 13623521904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1680577 + ... + 1688663.

It is an arithmetic number, because the mean of its divisors is an integer number (223746432).

Almost surely, 2^13623521940 is an apocalyptic number.

13623521940 is a gapful number since it is divisible by the number (10) 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 13623521940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24164614656).

13623521940 is an abundant number, since it is smaller than the sum of its proper divisors (34705707372).

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

13623521940 is a wasteful number, since it uses less digits than its factorization.

13623521940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8307 (or 8295 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13623521940 in words is "thirteen billion, six hundred twenty-three million, five hundred twenty-one thousand, nine hundred forty".