23284136649312 has 1152 divisors, whose sum is σ = 88303472345088. Its totient is φ = 5859844300800.

The previous prime is 23284136649307. The next prime is 23284136649331. The reversal of 23284136649312 is 21394663148232.

23284136649312 is a `hidden beast` number, since 2 + 3 + 2 + 8 + 4 + 136 + 6 + 493 + 12 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3269781112 + ... + 3269788232.

It is an arithmetic number, because the mean of its divisors is an integer number (76652319744).

Almost surely, 2^{23284136649312} is an apocalyptic number.

23284136649312 is a gapful number since it is divisible by the number (22) 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 23284136649312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44151736172544).

23284136649312 is an abundant number, since it is smaller than the sum of its proper divisors (65019335695776).

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

23284136649312 is a wasteful number, since it uses less digits than its factorization.

23284136649312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7334 (or 7314 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 23284136649312 in words is "twenty-three trillion, two hundred eighty-four billion, one hundred thirty-six million, six hundred forty-nine thousand, three hundred twelve".