13882532652 has 72 divisors (see below), whose sum is σ = 36413172432. Its totient is φ = 4624776000.

The previous prime is 13882532641. The next prime is 13882532663. The reversal of 13882532652 is 25623528831.

13882532652 is a `hidden beast` number, since 1 + 38 + 82 + 532 + 6 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13882532641) and next prime (13882532663).

It is a junction number, because it is equal to n+sod(n) for n = 13882532598 and 13882532607.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2272402 + ... + 2278502.

It is an arithmetic number, because the mean of its divisors is an integer number (505738506).

Almost surely, 2^13882532652 is an apocalyptic number.

13882532652 is a gapful number since it is divisible by the number (12) 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 13882532652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18206586216).

13882532652 is an abundant number, since it is smaller than the sum of its proper divisors (22530639780).

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

13882532652 is a wasteful number, since it uses less digits than its factorization.

13882532652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8461 (or 8447 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 13882532652 in words is "thirteen billion, eight hundred eighty-two million, five hundred thirty-two thousand, six hundred fifty-two".