191407149506412 has 288 divisors, whose sum is σ = 582507273828480. Its totient is φ = 51844326359040.

The previous prime is 191407149506407. The next prime is 191407149506423. The reversal of 191407149506412 is 214605941704191.

191407149506412 is a `hidden beast` number, since 1 + 9 + 1 + 40 + 71 + 495 + 0 + 6 + 41 + 2 = 666.

It is a super-2 number, since 2×191407149506412² (a number of 29 digits) contains 22 as substring.

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, 293650848 + ... + 294301944.

Almost surely, 2^{191407149506412} is an apocalyptic number.

191407149506412 is a gapful number since it is divisible by the number (12) 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 191407149506412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291253636914240).

191407149506412 is an abundant number, since it is smaller than the sum of its proper divisors (391100124322068).

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

191407149506412 is a wasteful number, since it uses less digits than its factorization.

191407149506412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651961 (or 651956 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 191407149506412 in words is "one hundred ninety-one trillion, four hundred seven billion, one hundred forty-nine million, five hundred six thousand, four hundred twelve".