11498677540900 has 243 divisors, whose sum is σ = 28431829512723. Its totient is φ = 4033355356800.

The previous prime is 11498677540873. The next prime is 11498677540913. The reversal of 11498677540900 is 904577689411.

The square root of 11498677540900 is 3390970.

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

It can be written as a sum of positive squares in 4 ways, for example, as 158055543844 + 11340621997056 = 397562^2 + 3367584^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10817193769 + ... + 10817194831.

Almost surely, 2^{11498677540900} is an apocalyptic number.

11498677540900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11498677540900 is the 3390970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11498677540900

11498677540900 is an abundant number, since it is smaller than the sum of its proper divisors (16933151971823).

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

11498677540900 is a wasteful number, since it uses less digits than its factorization.

11498677540900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 61.

The spelling of 11498677540900 in words is "eleven trillion, four hundred ninety-eight billion, six hundred seventy-seven million, five hundred forty thousand, nine hundred".