10985167814544 has 1215 divisors, whose sum is σ = 41956373528433. Its totient is φ = 2672722483200.

The previous prime is 10985167814477. The next prime is 10985167814567. The reversal of 10985167814544 is 44541876158901.

The square root of 10985167814544 is 3314388.

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

10985167814544 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 5 + 1 + 6 + 7 + 81 + 4 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8552466291600 + 2432701522944 = 2924460^2 + 1559712^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 52062406599 + ... + 52062406809.

Almost surely, 2^{10985167814544} is an apocalyptic number.

10985167814544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10985167814544 is the 3314388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10985167814544

10985167814544 is an abundant number, since it is smaller than the sum of its proper divisors (30971205713889).

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

10985167814544 is a wasteful number, since it uses less digits than its factorization.

10985167814544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

It can be divided in two parts, 10985167 and 814544, that added together give a palindrome (11799711).

The spelling of 10985167814544 in words is "ten trillion, nine hundred eighty-five billion, one hundred sixty-seven million, eight hundred fourteen thousand, five hundred forty-four".