1466401261248 has 1680 divisors, whose sum is σ = 5813660590080. Its totient is φ = 361454607360.

The previous prime is 1466401261211. The next prime is 1466401261301. The reversal of 1466401261248 is 8421621046641.

1466401261248 is a `hidden beast` number, since 1 + 466 + 40 + 1 + 26 + 124 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11546466561 + ... + 11546466687.

It is an arithmetic number, because the mean of its divisors is an integer number (3460512256).

Almost surely, 2^{1466401261248} is an apocalyptic number.

1466401261248 is a gapful number since it is divisible by the number (18) 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 1466401261248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906830295040).

1466401261248 is an abundant number, since it is smaller than the sum of its proper divisors (4347259328832).

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

1466401261248 is a wasteful number, since it uses less digits than its factorization.

1466401261248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 1466401261248 in words is "one trillion, four hundred sixty-six billion, four hundred one million, two hundred sixty-one thousand, two hundred forty-eight".