1264701145344 has 864 divisors, whose sum is σ = 4462722432000. Its totient is φ = 314280787968.

The previous prime is 1264701145327. The next prime is 1264701145397. The reversal of 1264701145344 is 4435411074621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1264701145296 and 1264701145305.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3336942147 + ... + 3336942525.

It is an arithmetic number, because the mean of its divisors is an integer number (5165188000).

Almost surely, 2^{1264701145344} is an apocalyptic number.

1264701145344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1264701145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231361216000).

1264701145344 is an abundant number, since it is smaller than the sum of its proper divisors (3198021286656).

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

1264701145344 is a wasteful number, since it uses less digits than its factorization.

1264701145344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 1264701145344 in words is "one trillion, two hundred sixty-four billion, seven hundred one million, one hundred forty-five thousand, three hundred forty-four".