3554983441152 has 1152 divisors, whose sum is σ = 12639023308800. Its totient is φ = 971473305600.

The previous prime is 3554983441033. The next prime is 3554983441181. The reversal of 3554983441152 is 2511443894553.

3554983441152 is a `hidden beast` number, since 3 + 5 + 5 + 49 + 8 + 3 + 441 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 12561778803 + ... + 12561779085.

It is an arithmetic number, because the mean of its divisors is an integer number (10971374400).

Almost surely, 2^{3554983441152} is an apocalyptic number.

3554983441152 is a gapful number since it is divisible by the number (32) 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 3554983441152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6319511654400).

3554983441152 is an abundant number, since it is smaller than the sum of its proper divisors (9084039867648).

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

3554983441152 is a wasteful number, since it uses less digits than its factorization.

3554983441152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 562 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 3554983441152 in words is "three trillion, five hundred fifty-four billion, nine hundred eighty-three million, four hundred forty-one thousand, one hundred fifty-two".