7146748332864 has 168 divisors, whose sum is σ = 23514409184448. Its totient is φ = 2032932556800.

The previous prime is 7146748332863. The next prime is 7146748332887. The reversal of 7146748332864 is 4682338476417.

7146748332864 is a `hidden beast` number, since 7 + 1 + 4 + 67 + 483 + 32 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7146748332863) 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, 2988937 + ... + 4819464.

It is an arithmetic number, because the mean of its divisors is an integer number (139966721336).

Almost surely, 2^{7146748332864} is an apocalyptic number.

It is an amenable number.

7146748332864 is an abundant number, since it is smaller than the sum of its proper divisors (16367660851584).

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

7146748332864 is a wasteful number, since it uses less digits than its factorization.

7146748332864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7808653 (or 7808640 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 63.

The spelling of 7146748332864 in words is "seven trillion, one hundred forty-six billion, seven hundred forty-eight million, three hundred thirty-two thousand, eight hundred sixty-four".