1617605901480 has 192 divisors, whose sum is σ = 4981937129280. Its totient is φ = 420168268800.

The previous prime is 1617605901473. The next prime is 1617605901493. The reversal of 1617605901480 is 841095067161.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55917420 + ... + 55946340.

It is an arithmetic number, because the mean of its divisors is an integer number (25947589215).

Almost surely, 2^{1617605901480} is an apocalyptic number.

1617605901480 is a gapful number since it is divisible by the number (10) 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 1617605901480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490968564640).

1617605901480 is an abundant number, since it is smaller than the sum of its proper divisors (3364331227800).

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

1617605901480 is a wasteful number, since it uses less digits than its factorization.

1617605901480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29240 (or 29189 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 1617605901480 in words is "one trillion, six hundred seventeen billion, six hundred five million, nine hundred one thousand, four hundred eighty".