1251248062464 has 225 divisors, whose sum is σ = 3742036389091. Its totient is φ = 416653148160.

The previous prime is 1251248062429. The next prime is 1251248062469. The reversal of 1251248062464 is 4642608421521.

The square root of 1251248062464 is 1118592.

It is a perfect power (a square), and thus also a powerful number.

1251248062464 is a `hidden beast` number, since 1 + 2 + 5 + 12 + 4 + 8 + 0 + 624 + 6 + 4 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1251248062469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1288617499 + ... + 1288618469.

Almost surely, 2^{1251248062464} is an apocalyptic number.

1251248062464 is the 1118592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1251248062464

1251248062464 is an abundant number, since it is smaller than the sum of its proper divisors (2490788326627).

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

1251248062464 is an frugal number, since it uses more digits than its factorization.

1251248062464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 1251248062464 in words is "one trillion, two hundred fifty-one billion, two hundred forty-eight million, sixty-two thousand, four hundred sixty-four".