11147211497536 has 63 divisors (see below), whose sum is σ = 22458933967869. Its totient is φ = 5489536174848.

The previous prime is 11147211497519. The next prime is 11147211497573. The reversal of 11147211497536 is 63579411274111.

The square root of 11147211497536 is 3338744.

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

It can be written as a sum of positive squares in only one way, i.e., 5635610115136 + 5511601382400 = 2373944^2 + 2347680^2 .

It is a super-4 number, since 4×11147211497536⁴ (a number of 53 digits) contains 4444 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1789563670 + ... + 1789569898.

It is an arithmetic number, because the mean of its divisors is an integer number (356491015363).

Almost surely, 2^{11147211497536} is an apocalyptic number.

11147211497536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11147211497536 is the 3338744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11147211497536

11147211497536 is an abundant number, since it is smaller than the sum of its proper divisors (11311722470333).

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

11147211497536 is an frugal number, since it uses more digits than its factorization.

11147211497536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12604 (or 6298 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 52.

The spelling of 11147211497536 in words is "eleven trillion, one hundred forty-seven billion, two hundred eleven million, four hundred ninety-seven thousand, five hundred thirty-six".