993498601536 has 567 divisors, whose sum is σ = 3529046096199. Its totient is φ = 266393788416.

The previous prime is 993498601531. The next prime is 993498601547. The reversal of 993498601536 is 635106894399.

The square root of 993498601536 is 996744.

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

993498601536 is a `hidden beast` number, since 9 + 9 + 3 + 4 + 98 + 6 + 0 + 1 + 536 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 261693633600 + 731804967936 = 511560^2 + 855456^2 .

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

It is not an unprimeable number, because it can be changed into a prime (993498601531) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2846700690 + ... + 2846701038.

Almost surely, 2^993498601536 is an apocalyptic number.

993498601536 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

993498601536 is the 996744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993498601536

993498601536 is an abundant number, since it is smaller than the sum of its proper divisors (2535547494663).

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

993498601536 is a wasteful number, since it uses less digits than its factorization.

993498601536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 993498601536 in words is "nine hundred ninety-three billion, four hundred ninety-eight million, six hundred one thousand, five hundred thirty-six".