4051645049088 has 864 divisors, whose sum is σ = 14946114822912. Its totient is φ = 1065996288000.

The previous prime is 4051645049057. The next prime is 4051645049099. The reversal of 4051645049088 is 8809405461504.

4051645049088 is a `hidden beast` number, since 4 + 0 + 51 + 6 + 4 + 504 + 9 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×4051645049088³ (a number of 39 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3968310018 + ... + 3968311038.

It is an arithmetic number, because the mean of its divisors is an integer number (17298744008).

Almost surely, 2^{4051645049088} is an apocalyptic number.

4051645049088 is a gapful number since it is divisible by the number (48) 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 4051645049088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7473057411456).

4051645049088 is an abundant number, since it is smaller than the sum of its proper divisors (10894469773824).

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

4051645049088 is a wasteful number, since it uses less digits than its factorization.

4051645049088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 4051645049088 in words is "four trillion, fifty-one billion, six hundred forty-five million, forty-nine thousand, eighty-eight".