1348001407458 has 128 divisors (see below), whose sum is σ = 3139076505600. Its totient is φ = 427976182656.

The previous prime is 1348001407457. The next prime is 1348001407541. The reversal of 1348001407458 is 8547041008431.

1348001407458 is a `hidden beast` number, since 13 + 48 + 0 + 0 + 140 + 7 + 458 = 666.

It is not an unprimeable number, because it can be changed into a prime (1348001407457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 326627791 + ... + 326631917.

It is an arithmetic number, because the mean of its divisors is an integer number (24524035200).

Almost surely, 2^{1348001407458} is an apocalyptic number.

1348001407458 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 1348001407458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569538252800).

1348001407458 is an abundant number, since it is smaller than the sum of its proper divisors (1791075098142).

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

1348001407458 is a wasteful number, since it uses less digits than its factorization.

1348001407458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5213 (or 5207 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 1348001407458 in words is "one trillion, three hundred forty-eight billion, one million, four hundred seven thousand, four hundred fifty-eight".