69101688384 has 147 divisors (see below), whose sum is σ = 205760516977. Its totient is φ = 23014969344.

The previous prime is 69101688377. The next prime is 69101688401. The reversal of 69101688384 is 48388610196.

The square root of 69101688384 is 262872.

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

It can be written as a sum of positive squares in only one way, i.e., 23189198400 + 45912489984 = 152280^2 + 214272^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 69101688384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 56779744 + ... + 56780960.

Almost surely, 2^69101688384 is an apocalyptic number.

69101688384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

69101688384 is the 262872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69101688384

69101688384 is an abundant number, since it is smaller than the sum of its proper divisors (136658828593).

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

69101688384 is an frugal number, since it uses more digits than its factorization.

69101688384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 69101688384 in words is "sixty-nine billion, one hundred one million, six hundred eighty-eight thousand, three hundred eighty-four".