13658652000 has 1152 divisors, whose sum is σ = 60501168000. Its totient is φ = 2980454400.

The previous prime is 13658651983. The next prime is 13658652017. The reversal of 13658652000 is 25685631.

It is an interprime number because it is at equal distance from previous prime (13658651983) and next prime (13658652017).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 153467956 + ... + 153468044.

It is an arithmetic number, because the mean of its divisors is an integer number (52518375).

Almost surely, 2^13658652000 is an apocalyptic number.

13658652000 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 13658652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30250584000).

13658652000 is an abundant number, since it is smaller than the sum of its proper divisors (46842516000).

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

13658652000 is a wasteful number, since it uses less digits than its factorization.

13658652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 13658652000 in words is "thirteen billion, six hundred fifty-eight million, six hundred fifty-two thousand".