1264441725918 has 320 divisors, whose sum is σ = 3682666944000. Its totient is φ = 322117689600.

The previous prime is 1264441725907. The next prime is 1264441725997. The reversal of 1264441725918 is 8195271444621.

1264441725918 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 4 + 41 + 7 + 2 + 591 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17912593 + ... + 17983043.

It is an arithmetic number, because the mean of its divisors is an integer number (11508334200).

Almost surely, 2^{1264441725918} is an apocalyptic number.

1264441725918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1264441725918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841333472000).

1264441725918 is an abundant number, since it is smaller than the sum of its proper divisors (2418225218082).

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

1264441725918 is a wasteful number, since it uses less digits than its factorization.

1264441725918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70522 (or 70499 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 1264441725918 in words is "one trillion, two hundred sixty-four billion, four hundred forty-one million, seven hundred twenty-five thousand, nine hundred eighteen".