1618749408 has 144 divisors (see below), whose sum is σ = 4446232560. Its totient is φ = 515579904.

The previous prime is 1618749389. The next prime is 1618749443. The reversal of 1618749408 is 8049478161.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14325160 + ... + 14325272.

It is an arithmetic number, because the mean of its divisors is an integer number (30876615).

Almost surely, 2^1618749408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1618749408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223116280).

1618749408 is an abundant number, since it is smaller than the sum of its proper divisors (2827483152).

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

1618749408 is a wasteful number, since it uses less digits than its factorization.

1618749408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 1618749408 is about 40233.6849915590. The cubic root of 1618749408 is about 1174.1579983677.

The spelling of 1618749408 in words is "one billion, six hundred eighteen million, seven hundred forty-nine thousand, four hundred eight".