13783864500 has 192 divisors, whose sum is σ = 50970017280. Its totient is φ = 3150576000.

The previous prime is 13783864489. The next prime is 13783864513. The reversal of 13783864500 is 546838731.

13783864500 is a `hidden beast` number, since 1 + 3 + 7 + 83 + 8 + 64 + 500 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21570 + ... + 167430.

It is an arithmetic number, because the mean of its divisors is an integer number (265468840).

Almost surely, 2^13783864500 is an apocalyptic number.

13783864500 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 13783864500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25485008640).

13783864500 is an abundant number, since it is smaller than the sum of its proper divisors (37186152780).

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

13783864500 is a wasteful number, since it uses less digits than its factorization.

13783864500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145896 (or 145878 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13783864500 in words is "thirteen billion, seven hundred eighty-three million, eight hundred sixty-four thousand, five hundred".