14782152000 has 896 divisors, whose sum is σ = 64209899520. Its totient is φ = 2903040000.

The previous prime is 14782151959. The next prime is 14782152023. The reversal of 14782152000 is 25128741.

It is a super-2 number, since 2×14782152000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35111790 + ... + 35112210.

Almost surely, 2^14782152000 is an apocalyptic number.

14782152000 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 14782152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32104949760).

14782152000 is an abundant number, since it is smaller than the sum of its proper divisors (49427747520).

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

14782152000 is a wasteful number, since it uses less digits than its factorization.

14782152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The spelling of 14782152000 in words is "fourteen billion, seven hundred eighty-two million, one hundred fifty-two thousand".