8142607107054 has 384 divisors, whose sum is σ = 21751101504000. Its totient is φ = 2250022924800.

The previous prime is 8142607107049. The next prime is 8142607107073. The reversal of 8142607107054 is 4507017062418.

It is a super-2 number, since 2×8142607107054² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

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, 7747484829 + ... + 7747485879.

It is an arithmetic number, because the mean of its divisors is an integer number (56643493500).

Almost surely, 2^{8142607107054} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8142607107054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10875550752000).

8142607107054 is an abundant number, since it is smaller than the sum of its proper divisors (13608494396946).

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

8142607107054 is a wasteful number, since it uses less digits than its factorization.

8142607107054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 8142607107054 in words is "eight trillion, one hundred forty-two billion, six hundred seven million, one hundred seven thousand, fifty-four".