33889864464 has 225 divisors, whose sum is σ = 102692714293. Its totient is φ = 10432861824.

The previous prime is 33889864453. The next prime is 33889864483. The reversal of 33889864464 is 46446898833.

The square root of 33889864464 is 184092.

It is a perfect power (a square), and thus also a powerful number.

33889864464 is a `hidden beast` number, since 3 + 3 + 88 + 98 + 6 + 4 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17771022864 + 16118841600 = 133308^2 + 126960^2 .

It is a super-3 number, since 3×33889864464³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1168616002 + ... + 1168616030.

Almost surely, 2^33889864464 is an apocalyptic number.

33889864464 is the 184092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33889864464

33889864464 is an abundant number, since it is smaller than the sum of its proper divisors (68802849829).

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

33889864464 is an frugal number, since it uses more digits than its factorization.

33889864464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 57 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 63.

The spelling of 33889864464 in words is "thirty-three billion, eight hundred eighty-nine million, eight hundred sixty-four thousand, four hundred sixty-four".