34148156850 has 384 divisors, whose sum is σ = 100743552000. Its totient is φ = 8491392000.

The previous prime is 34148156813. The next prime is 34148156897. The reversal of 34148156850 is 5865184143.

34148156850 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 81 + 568 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 34148156796 and 34148156805.

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, 188663760 + ... + 188663940.

It is an arithmetic number, because the mean of its divisors is an integer number (262353000).

Almost surely, 2^34148156850 is an apocalyptic number.

34148156850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34148156850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50371776000).

34148156850 is an abundant number, since it is smaller than the sum of its proper divisors (66595395150).

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

34148156850 is a wasteful number, since it uses less digits than its factorization.

34148156850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 34148156850 in words is "thirty-four billion, one hundred forty-eight million, one hundred fifty-six thousand, eight hundred fifty".