151346400426468 has 144 divisors (see below), whose sum is σ = 412458520219200. Its totient is φ = 46516141976832.

The previous prime is 151346400426457. The next prime is 151346400426469. The reversal of 151346400426468 is 864624004643151.

151346400426468 is a `hidden beast` number, since 1 + 5 + 134 + 6 + 4 + 0 + 0 + 42 + 6 + 468 = 666.

151346400426468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (151346400426469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6858483571 + ... + 6858505637.

It is an arithmetic number, because the mean of its divisors is an integer number (2864295279300).

Almost surely, 2^{151346400426468} is an apocalyptic number.

151346400426468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151346400426468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206229260109600).

151346400426468 is an abundant number, since it is smaller than the sum of its proper divisors (261112119792732).

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

151346400426468 is a wasteful number, since it uses less digits than its factorization.

151346400426468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37786 (or 37781 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 151346400426468 in words is "one hundred fifty-one trillion, three hundred forty-six billion, four hundred million, four hundred twenty-six thousand, four hundred sixty-eight".