138834663552 has 384 divisors, whose sum is σ = 449755225920. Its totient is φ = 42376089600.

The previous prime is 138834663547. The next prime is 138834663553. The reversal of 138834663552 is 255366438831.

138834663552 is a `hidden beast` number, since 1 + 3 + 8 + 83 + 4 + 6 + 6 + 3 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (138834663553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52968802 + ... + 52971422.

Almost surely, 2^138834663552 is an apocalyptic number.

138834663552 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 138834663552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224877612960).

138834663552 is an abundant number, since it is smaller than the sum of its proper divisors (310920562368).

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

138834663552 is a wasteful number, since it uses less digits than its factorization.

138834663552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2770 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 138834663552 in words is "one hundred thirty-eight billion, eight hundred thirty-four million, six hundred sixty-three thousand, five hundred fifty-two".