34454151464120 has 32 divisors (see below), whose sum is σ = 77544702155520. Its totient is φ = 13777596343680.

The previous prime is 34454151464111. The next prime is 34454151464129. The reversal of 34454151464120 is 2146415145443.

It is an interprime number because it is at equal distance from previous prime (34454151464111) and next prime (34454151464129).

It is a super-2 number, since 2×34454151464120² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34454151464129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126870227 + ... + 127141506.

It is an arithmetic number, because the mean of its divisors is an integer number (2423271942360).

Almost surely, 2^{34454151464120} is an apocalyptic number.

It is an amenable number.

34454151464120 is an abundant number, since it is smaller than the sum of its proper divisors (43090550691400).

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

34454151464120 is a wasteful number, since it uses less digits than its factorization.

34454151464120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254015135 (or 254015131 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 44.

The spelling of 34454151464120 in words is "thirty-four trillion, four hundred fifty-four billion, one hundred fifty-one million, four hundred sixty-four thousand, one hundred twenty".