354787777003968 has 1344 divisors, whose sum is σ = 1398073439600640. Its totient is φ = 87105744230400.

The previous prime is 354787777003927. The next prime is 354787777003969. The reversal of 354787777003968 is 869300777787453.

354787777003968 is a `hidden beast` number, since 3 + 5 + 478 + 7 + 77 + 70 + 0 + 3 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×354787777003968² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354787777003969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1241402655 + ... + 1241688417.

Almost surely, 2^{354787777003968} 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 354787777003968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699036719800320).

354787777003968 is an abundant number, since it is smaller than the sum of its proper divisors (1043285662596672).

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

354787777003968 is a wasteful number, since it uses less digits than its factorization.

354787777003968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285883 (or 285860 counting only the distinct ones).

The product of its (nonzero) digits is 10455298560, while the sum is 81.

The spelling of 354787777003968 in words is "three hundred fifty-four trillion, seven hundred eighty-seven billion, seven hundred seventy-seven million, three thousand, nine hundred sixty-eight".