1465540307616 has 384 divisors, whose sum is σ = 4842493673472. Its totient is φ = 377011584000.

The previous prime is 1465540307603. The next prime is 1465540307639. The reversal of 1465540307616 is 6167030455641.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 374720701 + ... + 374724611.

It is an arithmetic number, because the mean of its divisors is an integer number (12610660608).

Almost surely, 2^{1465540307616} is an apocalyptic number.

1465540307616 is a gapful number since it is divisible by the number (16) 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 1465540307616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421246836736).

1465540307616 is an abundant number, since it is smaller than the sum of its proper divisors (3376953365856).

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

1465540307616 is a wasteful number, since it uses less digits than its factorization.

1465540307616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4416 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 1465540307616 in words is "one trillion, four hundred sixty-five billion, five hundred forty million, three hundred seven thousand, six hundred sixteen".