69961046089984 has 729 divisors, whose sum is σ = 181345048116141. Its totient is φ = 26851320545280.

The previous prime is 69961046089943. The next prime is 69961046090003. The reversal of 69961046089984 is 48998064016996.

The square root of 69961046089984 is 8364272.

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., 54467942457600 + 15493103632384 = 7380240^2 + 3936128^2 .

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 80 ways as a sum of consecutive naturals, for example, 366288199329 + ... + 366288199519.

Almost surely, 2^{69961046089984} is an apocalyptic number.

69961046089984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

69961046089984 is the 8364272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69961046089984

69961046089984 is an abundant number, since it is smaller than the sum of its proper divisors (111384002026157).

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

69961046089984 is an equidigital number, since it uses as much as digits as its factorization.

69961046089984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1451188224, while the sum is 79.

The spelling of 69961046089984 in words is "sixty-nine trillion, nine hundred sixty-one billion, forty-six million, eighty-nine thousand, nine hundred eighty-four".