10498533140736 has 135 divisors (see below), whose sum is σ = 31306117527993. Its totient is φ = 3499355520000.

The previous prime is 10498533140639. The next prime is 10498533140747. The reversal of 10498533140736 is 63704133589401.

The square root of 10498533140736 is 3240144.

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

10498533140736 is a `hidden beast` number, since 1 + 0 + 4 + 98 + 533 + 14 + 0 + 7 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10496666900736 + 1866240000 = 3239856^2 + 43200^2 .

It is a super-2 number, since 2×10498533140736² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 466569486 + ... + 466591986.

Almost surely, 2^{10498533140736} is an apocalyptic number.

10498533140736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10498533140736 is the 3240144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10498533140736

10498533140736 is an abundant number, since it is smaller than the sum of its proper divisors (20807584387257).

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

10498533140736 is an frugal number, since it uses more digits than its factorization.

10498533140736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45030 (or 22506 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 10498533140736 in words is "ten trillion, four hundred ninety-eight billion, five hundred thirty-three million, one hundred forty thousand, seven hundred thirty-six".