13853846900 has 72 divisors (see below), whose sum is σ = 30743198976. Its totient is φ = 5416444800.

The previous prime is 13853846869. The next prime is 13853846983. The reversal of 13853846900 is 964835831.

It is a super-2 number, since 2×13853846900² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4797257 + ... + 4800143.

Almost surely, 2^13853846900 is an apocalyptic number.

13853846900 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 13853846900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15371599488).

13853846900 is an abundant number, since it is smaller than the sum of its proper divisors (16889352076).

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

13853846900 is a wasteful number, since it uses less digits than its factorization.

13853846900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3969 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 13853846900 in words is "thirteen billion, eight hundred fifty-three million, eight hundred forty-six thousand, nine hundred".