88873149456 has 625 divisors, whose sum is σ = 325083194491. Its totient is φ = 23439072384.

The previous prime is 88873149451. The next prime is 88873149479. The reversal of 88873149456 is 65494137888.

The square root of 88873149456 is 298116.

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

It can be written as a sum of positive squares in 2 ways, for example, as 44064727056 + 44808422400 = 209916^2 + 211680^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 88873149393 and 88873149402.

It is not an unprimeable number, because it can be changed into a prime (88873149451) by changing a digit.

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 124 ways as a sum of consecutive naturals, for example, 6836396106 + ... + 6836396118.

Almost surely, 2^88873149456 is an apocalyptic number.

88873149456 is the 298116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88873149456

88873149456 is an abundant number, since it is smaller than the sum of its proper divisors (236210045035).

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

88873149456 is an frugal number, since it uses more digits than its factorization.

88873149456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 25 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 88873149456 in words is "eighty-eight billion, eight hundred seventy-three million, one hundred forty-nine thousand, four hundred fifty-six".