146889676152576 has 216 divisors, whose sum is σ = 484395138971744. Its totient is φ = 41936114810880.

The previous prime is 146889676152517. The next prime is 146889676152577. The reversal of 146889676152576 is 675251676988641.

146889676152576 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 89 + 6 + 7 + 6 + 1 + 525 + 7 + 6 = 666.

146889676152576 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146889676152495 and 146889676152504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146889676152577) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17406936 + ... + 24429096.

Almost surely, 2^{146889676152576} is an apocalyptic number.

146889676152576 is a gapful number since it is divisible by the number (16) 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 146889676152576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242197569485872).

146889676152576 is an abundant number, since it is smaller than the sum of its proper divisors (337505462819168).

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

146889676152576 is a wasteful number, since it uses less digits than its factorization.

146889676152576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7023487 (or 7023470 counting only the distinct ones).

The product of its digits is 7315660800, while the sum is 81.

The spelling of 146889676152576 in words is "one hundred forty-six trillion, eight hundred eighty-nine billion, six hundred seventy-six million, one hundred fifty-two thousand, five hundred seventy-six".