5429463977952 has 144 divisors (see below), whose sum is σ = 17807646336480. Its totient is φ = 1537043475456.

The previous prime is 5429463977933. The next prime is 5429463977963. The reversal of 5429463977952 is 2597793649245.

5429463977952 is a `hidden beast` number, since 5 + 4 + 2 + 9 + 463 + 9 + 77 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×5429463977952² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12134323 + ... + 12573810.

It is an arithmetic number, because the mean of its divisors is an integer number (123664210670).

Almost surely, 2^{5429463977952} is an apocalyptic number.

It is an amenable number.

5429463977952 is an abundant number, since it is smaller than the sum of its proper divisors (12378182358528).

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

5429463977952 is a wasteful number, since it uses less digits than its factorization.

5429463977952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24708265 (or 24708254 counting only the distinct ones).

The product of its digits is 1028764800, while the sum is 72.

The spelling of 5429463977952 in words is "five trillion, four hundred twenty-nine billion, four hundred sixty-three million, nine hundred seventy-seven thousand, nine hundred fifty-two".