191149165440 has 896 divisors, whose sum is σ = 732061670400. Its totient is φ = 47593598976.

The previous prime is 191149165439. The next prime is 191149165451. The reversal of 191149165440 is 44561941191.

191149165440 is a `hidden beast` number, since 1 + 9 + 1 + 1 + 49 + 165 + 440 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 504351171 + ... + 504351549.

Almost surely, 2^191149165440 is an apocalyptic number.

191149165440 is a gapful number since it is divisible by the number (10) 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 191149165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366030835200).

191149165440 is an abundant number, since it is smaller than the sum of its proper divisors (540912504960).

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

191149165440 is an equidigital number, since it uses as much as digits as its factorization.

191149165440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 191149165440 in words is "one hundred ninety-one billion, one hundred forty-nine million, one hundred sixty-five thousand, four hundred forty".