35454542467072 has 104 divisors (see below), whose sum is σ = 71568395613000. Its totient is φ = 17560339218432.

The previous prime is 35454542466919. The next prime is 35454542467087. The reversal of 35454542467072 is 27076424545453.

It can be written as a sum of positive squares in 4 ways, for example, as 15044965318656 + 20409577148416 = 3878784^2 + 4517696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 35454542466998 and 35454542467016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2611361148 + ... + 2611374724.

It is an arithmetic number, because the mean of its divisors is an integer number (688157650125).

Almost surely, 2^{35454542467072} is an apocalyptic number.

35454542467072 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 35454542467072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35784197806500).

35454542467072 is an abundant number, since it is smaller than the sum of its proper divisors (36113853145928).

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

35454542467072 is a wasteful number, since it uses less digits than its factorization.

35454542467072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19559 (or 19537 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 58.

The spelling of 35454542467072 in words is "thirty-five trillion, four hundred fifty-four billion, five hundred forty-two million, four hundred sixty-seven thousand, seventy-two".