906548234144 has 192 divisors, whose sum is σ = 2195348520960. Its totient is φ = 360154045440.

The previous prime is 906548234131. The next prime is 906548234167. The reversal of 906548234144 is 441432845609.

It is a junction number, because it is equal to n+sod(n) for n = 906548234092 and 906548234101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25557029 + ... + 25592475.

It is an arithmetic number, because the mean of its divisors is an integer number (11434106880).

Almost surely, 2^906548234144 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 906548234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097674260480).

906548234144 is an abundant number, since it is smaller than the sum of its proper divisors (1288800286816).

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

906548234144 is a wasteful number, since it uses less digits than its factorization.

906548234144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35651 (or 35643 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 50.

The spelling of 906548234144 in words is "nine hundred six billion, five hundred forty-eight million, two hundred thirty-four thousand, one hundred forty-four".