1541278216464 has 320 divisors, whose sum is σ = 4911813623808. Its totient is φ = 406769932800.

The previous prime is 1541278216447. The next prime is 1541278216477. The reversal of 1541278216464 is 4646128721451.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117621337 + ... + 117634439.

Almost surely, 2^{1541278216464} is an apocalyptic number.

1541278216464 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 1541278216464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455906811904).

1541278216464 is an abundant number, since it is smaller than the sum of its proper divisors (3370535407344).

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

1541278216464 is a wasteful number, since it uses less digits than its factorization.

1541278216464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13666 (or 13660 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The spelling of 1541278216464 in words is "one trillion, five hundred forty-one billion, two hundred seventy-eight million, two hundred sixteen thousand, four hundred sixty-four".