81507348344268 has 1296 divisors, whose sum is σ = 301804564239360. Its totient is φ = 18267030835200.

The previous prime is 81507348344267. The next prime is 81507348344293. The reversal of 81507348344268 is 86244384370518.

81507348344268 is a `hidden beast` number, since 8 + 1 + 50 + 7 + 3 + 4 + 83 + 442 + 68 = 666.

It is a super-2 number, since 2×81507348344268² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (81507348344267) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3302955946 + ... + 3302980622.

It is an arithmetic number, because the mean of its divisors is an integer number (232873892160).

Almost surely, 2^{81507348344268} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81507348344268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150902282119680).

81507348344268 is an abundant number, since it is smaller than the sum of its proper divisors (220297215895092).

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

81507348344268 is a wasteful number, since it uses less digits than its factorization.

81507348344268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24796 (or 24767 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 81507348344268 in words is "eighty-one trillion, five hundred seven billion, three hundred forty-eight million, three hundred forty-four thousand, two hundred sixty-eight".