35540065501644 has 288 divisors, whose sum is σ = 97230758317056. Its totient is φ = 10017256734720.

The previous prime is 35540065501601. The next prime is 35540065501649. The reversal of 35540065501644 is 44610556004553.

It is a happy number.

It is a super-2 number, since 2×35540065501644² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35540065501593 and 35540065501602.

It is not an unprimeable number, because it can be changed into a prime (35540065501649) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2712354397 + ... + 2712367499.

It is an arithmetic number, because the mean of its divisors is an integer number (337606799712).

Almost surely, 2^{35540065501644} is an apocalyptic number.

35540065501644 is a gapful number since it is divisible by the number (34) 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 35540065501644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48615379158528).

35540065501644 is an abundant number, since it is smaller than the sum of its proper divisors (61690692815412).

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

35540065501644 is a wasteful number, since it uses less digits than its factorization.

35540065501644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13985 (or 13966 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 48.

The spelling of 35540065501644 in words is "thirty-five trillion, five hundred forty billion, sixty-five million, five hundred one thousand, six hundred forty-four".