1008421620948 has 384 divisors, whose sum is σ = 3192950620160. Its totient is φ = 269124871680.

The previous prime is 1008421620919. The next prime is 1008421620953. The reversal of 1008421620948 is 8490261248001.

1008421620948 is a `hidden beast` number, since 10 + 0 + 8 + 4 + 2 + 1 + 620 + 9 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 110121186 + ... + 110130342.

Almost surely, 2^{1008421620948} is an apocalyptic number.

1008421620948 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 1008421620948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596475310080).

1008421620948 is an abundant number, since it is smaller than the sum of its proper divisors (2184528999212).

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

1008421620948 is a wasteful number, since it uses less digits than its factorization.

1008421620948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9372 (or 9364 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

Adding to 1008421620948 its reverse (8490261248001), we get a palindrome (9498682868949).

The spelling of 1008421620948 in words is "one trillion, eight billion, four hundred twenty-one million, six hundred twenty thousand, nine hundred forty-eight".