16964340552 has 384 divisors, whose sum is σ = 51757056000. Its totient is φ = 5001384960.

The previous prime is 16964340517. The next prime is 16964340553. The reversal of 16964340552 is 25504346961.

16964340552 is a `hidden beast` number, since 1 + 6 + 9 + 64 + 34 + 0 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 16964340498 and 16964340507.

It is not an unprimeable number, because it can be changed into a prime (16964340553) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 190610524 + ... + 190610612.

It is an arithmetic number, because the mean of its divisors is an integer number (134784000).

Almost surely, 2^16964340552 is an apocalyptic number.

16964340552 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 16964340552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25878528000).

16964340552 is an abundant number, since it is smaller than the sum of its proper divisors (34792715448).

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

16964340552 is a wasteful number, since it uses less digits than its factorization.

16964340552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 16964340552 in words is "sixteen billion, nine hundred sixty-four million, three hundred forty thousand, five hundred fifty-two".