154609385616 has 405 divisors, whose sum is σ = 523562589459. Its totient is φ = 42466032000.

The previous prime is 154609385611. The next prime is 154609385617. The reversal of 154609385616 is 616583906451.

The square root of 154609385616 is 393204.

It is a perfect power (a square), and thus also a powerful number.

154609385616 is a `hidden beast` number, since 1 + 5 + 46 + 0 + 9 + 38 + 561 + 6 = 666.

154609385616 is digitally balanced in base 3, 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 (154609385611) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1023903141 + ... + 1023903291.

Almost surely, 2^154609385616 is an apocalyptic number.

154609385616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

154609385616 is the 393204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154609385616

154609385616 is an abundant number, since it is smaller than the sum of its proper divisors (368953203843).

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

154609385616 is a wasteful number, since it uses less digits than its factorization.

154609385616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

It can be divided in two parts, 154609 and 385616, that added together give a square (540225 = 735²).

The spelling of 154609385616 in words is "one hundred fifty-four billion, six hundred nine million, three hundred eighty-five thousand, six hundred sixteen".