34525114000 has 80 divisors (see below), whose sum is σ = 89903464560. Its totient is φ = 12747724800.

The previous prime is 34525113983. The next prime is 34525114031. The reversal of 34525114000 is 41152543.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 28411125136 + 6113988864 = 168556^2 + 78192^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637945 + ... + 689944.

It is an arithmetic number, because the mean of its divisors is an integer number (1123793307).

Almost surely, 2^34525114000 is an apocalyptic number.

It is an amenable number.

34525114000 is an abundant number, since it is smaller than the sum of its proper divisors (55378350560).

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

34525114000 is a wasteful number, since it uses less digits than its factorization.

34525114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327925 (or 1327909 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 34525114000 its reverse (41152543), we get a palindrome (34566266543).

The spelling of 34525114000 in words is "thirty-four billion, five hundred twenty-five million, one hundred fourteen thousand".