147677316806880 has 1152 divisors, whose sum is σ = 620165593651968. Its totient is φ = 31233105985536.

The previous prime is 147677316806867. The next prime is 147677316806923. The reversal of 147677316806880 is 88608613776741.

147677316806880 is a `hidden beast` number, since 1 + 47 + 67 + 7 + 316 + 80 + 68 + 80 = 666.

It is a super-3 number, since 3×147677316806880³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 147677316806799 and 147677316806808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3915385782 + ... + 3915423498.

It is an arithmetic number, because the mean of its divisors is an integer number (538338188934).

Almost surely, 2^{147677316806880} is an apocalyptic number.

147677316806880 is a gapful number since it is divisible by the number (10) 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 147677316806880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310082796825984).

147677316806880 is an abundant number, since it is smaller than the sum of its proper divisors (472488276845088).

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

147677316806880 is a wasteful number, since it uses less digits than its factorization.

147677316806880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38148 (or 38137 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 147677316806880 in words is "one hundred forty-seven trillion, six hundred seventy-seven billion, three hundred sixteen million, eight hundred six thousand, eight hundred eighty".