11967151248 has 240 divisors, whose sum is σ = 38046939840. Its totient is φ = 3618888192.

The previous prime is 11967151187. The next prime is 11967151279. The reversal of 11967151248 is 84215176911.

11967151248 is a `hidden beast` number, since 1 + 1 + 96 + 7 + 1 + 512 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2980090 + ... + 2984102.

It is an arithmetic number, because the mean of its divisors is an integer number (158528916).

Almost surely, 2^11967151248 is an apocalyptic number.

11967151248 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 11967151248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19023469920).

11967151248 is an abundant number, since it is smaller than the sum of its proper divisors (26079788592).

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

11967151248 is a wasteful number, since it uses less digits than its factorization.

11967151248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108 (or 4090 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The spelling of 11967151248 in words is "eleven billion, nine hundred sixty-seven million, one hundred fifty-one thousand, two hundred forty-eight".