154114809408 has 840 divisors, whose sum is σ = 570433489560. Its totient is φ = 40874803200.

The previous prime is 154114809397. The next prime is 154114809419. The reversal of 154114809408 is 804908411451.

154114809408 is a `hidden beast` number, since 1 + 54 + 114 + 80 + 9 + 408 = 666.

154114809408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (154114809397) and next prime (154114809419).

It can be written as a sum of positive squares in 4 ways, for example, as 66588770304 + 87526039104 = 258048^2 + 295848^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 384326008 + ... + 384326408.

Almost surely, 2^154114809408 is an apocalyptic number.

154114809408 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 154114809408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285216744780).

154114809408 is an abundant number, since it is smaller than the sum of its proper divisors (416318680152).

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

154114809408 is a wasteful number, since it uses less digits than its factorization.

154114809408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 154114809408 in words is "one hundred fifty-four billion, one hundred fourteen million, eight hundred nine thousand, four hundred eight".