71498190832068 has 1152 divisors, whose sum is σ = 240389502976000. Its totient is φ = 16048674892800.

The previous prime is 71498190832067. The next prime is 71498190832069. The reversal of 71498190832068 is 86023809189417.

It is an interprime number because it is at equal distance from previous prime (71498190832067) and next prime (71498190832069).

It is a super-2 number, since 2×71498190832068² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (71498190832063) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 115505962263 + ... + 115505962881.

Almost surely, 2^{71498190832068} is an apocalyptic number.

71498190832068 is a gapful number since it is divisible by the number (78) 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 71498190832068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120194751488000).

71498190832068 is an abundant number, since it is smaller than the sum of its proper divisors (168891312143932).

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

71498190832068 is a wasteful number, since it uses less digits than its factorization.

71498190832068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 66.

The spelling of 71498190832068 in words is "seventy-one trillion, four hundred ninety-eight billion, one hundred ninety million, eight hundred thirty-two thousand, sixty-eight".