1264675678084 has 243 divisors, whose sum is σ = 2882433622383. Its totient is φ = 483874425216.

The previous prime is 1264675678069. The next prime is 1264675678103. The reversal of 1264675678084 is 4808765764621.

The square root of 1264675678084 is 1124578.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5253060484 + 1259422617600 = 72478^2 + 1122240^2 .

It is a super-2 number, since 2×1264675678084² (a number of 25 digits) contains 22 as substring.

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 80 ways as a sum of consecutive naturals, for example, 7572908169 + ... + 7572908335.

Almost surely, 2^{1264675678084} is an apocalyptic number.

1264675678084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1264675678084 is the 1124578-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1264675678084

1264675678084 is an abundant number, since it is smaller than the sum of its proper divisors (1617757944299).

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

1264675678084 is a wasteful number, since it uses less digits than its factorization.

1264675678084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 64.

Multiplying 1264675678084 by its sum of digits (64), we get a square (80939243397376 = 8996624²).

The spelling of 1264675678084 in words is "one trillion, two hundred sixty-four billion, six hundred seventy-five million, six hundred seventy-eight thousand, eighty-four".