11897653248 has 336 divisors, whose sum is σ = 38474277660. Its totient is φ = 3654844416.

The previous prime is 11897653217. The next prime is 11897653307. The reversal of 11897653248 is 84235679811.

11897653248 is a `hidden beast` number, since 1 + 18 + 97 + 6 + 532 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8546632704 + 3351020544 = 92448^2 + 57888^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 11897653194 and 11897653203.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 19408590 + ... + 19409202.

Almost surely, 2^11897653248 is an apocalyptic number.

11897653248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11897653248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19237138830).

11897653248 is an abundant number, since it is smaller than the sum of its proper divisors (26576624412).

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

11897653248 is an frugal number, since it uses more digits than its factorization.

11897653248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 631 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 11897653248 in words is "eleven billion, eight hundred ninety-seven million, six hundred fifty-three thousand, two hundred forty-eight".