8135343792450 has 384 divisors, whose sum is σ = 27498569264640. Its totient is φ = 1726147584000.

The previous prime is 8135343792449. The next prime is 8135343792469. The reversal of 8135343792450 is 542973435318.

8135343792450 is a `hidden beast` number, since 8 + 1 + 3 + 534 + 37 + 9 + 24 + 50 = 666.

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

It is a Curzon 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, 11380600 + ... + 12074300.

It is an arithmetic number, because the mean of its divisors is an integer number (71610857460).

Almost surely, 2^{8135343792450} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8135343792450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13749284632320).

8135343792450 is an abundant number, since it is smaller than the sum of its proper divisors (19363225472190).

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

8135343792450 is a wasteful number, since it uses less digits than its factorization.

8135343792450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693819 (or 693808 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 8135343792450 in words is "eight trillion, one hundred thirty-five billion, three hundred forty-three million, seven hundred ninety-two thousand, four hundred fifty".