13638156480 has 168 divisors, whose sum is σ = 50518143312. Its totient is φ = 3357075456.

The previous prime is 13638156473. The next prime is 13638156487. The reversal of 13638156480 is 8465183631.

13638156480 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 8 + 1 + 564 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (13638156473) and next prime (13638156487).

It is a super-3 number, since 3×13638156480³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13638156487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144694 + ... + 219573.

It is an arithmetic number, because the mean of its divisors is an integer number (300703234).

Almost surely, 2^13638156480 is an apocalyptic number.

13638156480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13638156480 is an abundant number, since it is smaller than the sum of its proper divisors (36879986832).

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

13638156480 is a wasteful number, since it uses less digits than its factorization.

13638156480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364303 (or 364290 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 13638156480 in words is "thirteen billion, six hundred thirty-eight million, one hundred fifty-six thousand, four hundred eighty".