2191096147968 has 1248 divisors, whose sum is σ = 8559311394816. Its totient is φ = 543496863744.

The previous prime is 2191096147939. The next prime is 2191096147991. The reversal of 2191096147968 is 8697416901912.

2191096147968 is a `hidden beast` number, since 2 + 1 + 9 + 1 + 0 + 9 + 614 + 7 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1539771705 + ... + 1539773127.

It is an arithmetic number, because the mean of its divisors is an integer number (6858422592).

Almost surely, 2^{2191096147968} is an apocalyptic number.

2191096147968 is a gapful number since it is divisible by the number (28) 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 2191096147968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279655697408).

2191096147968 is an abundant number, since it is smaller than the sum of its proper divisors (6368215246848).

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

2191096147968 is a wasteful number, since it uses less digits than its factorization.

2191096147968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 2191096147968 in words is "two trillion, one hundred ninety-one billion, ninety-six million, one hundred forty-seven thousand, nine hundred sixty-eight".