4664746305144 has 192 divisors, whose sum is σ = 13191305868000. Its totient is φ = 1527361920000.

The previous prime is 4664746305133. The next prime is 4664746305169. The reversal of 4664746305144 is 4415036474664.

4664746305144 is a `hidden beast` number, since 4 + 6 + 64 + 7 + 4 + 63 + 0 + 514 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 666293644 + ... + 666300644.

Almost surely, 2^{4664746305144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4664746305144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6595652934000).

4664746305144 is an abundant number, since it is smaller than the sum of its proper divisors (8526559562856).

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

4664746305144 is a wasteful number, since it uses less digits than its factorization.

4664746305144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7967 (or 7896 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 4664746305144 in words is "four trillion, six hundred sixty-four billion, seven hundred forty-six million, three hundred five thousand, one hundred forty-four".