69485379984384 has 1056 divisors, whose sum is σ = 247948135626240. Its totient is φ = 16800021872640.

The previous prime is 69485379984379. The next prime is 69485379984407. The reversal of 69485379984384 is 48348997358496.

It is a super-2 number, since 2×69485379984384² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 69485379984384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5104333162 + ... + 5104346774.

Almost surely, 2^{69485379984384} is an apocalyptic number.

69485379984384 is a gapful number since it is divisible by the number (64) 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 69485379984384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123974067813120).

69485379984384 is an abundant number, since it is smaller than the sum of its proper divisors (178462755641856).

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

69485379984384 is a wasteful number, since it uses less digits than its factorization.

69485379984384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13737 (or 13688 counting only the distinct ones).

The product of its digits is 45148078080, while the sum is 87.

The spelling of 69485379984384 in words is "sixty-nine trillion, four hundred eighty-five billion, three hundred seventy-nine million, nine hundred eighty-four thousand, three hundred eighty-four".