34881454080000 has 3240 divisors, whose sum is σ = 152921320375824. Its totient is φ = 7612661760000.

The previous prime is 34881454079951. The next prime is 34881454080001. The reversal of 34881454080000 is 8045418843.

34881454080000 is a `hidden beast` number, since 3 + 48 + 81 + 454 + 0 + 80 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34881454080001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1516584959989 + ... + 1516584960011.

Almost surely, 2^{34881454080000} is an apocalyptic number.

34881454080000 is a gapful number since it is divisible by the number (30) 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 34881454080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76460660187912).

34881454080000 is an abundant number, since it is smaller than the sum of its proper divisors (118039866295824).

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

34881454080000 is an equidigital number, since it uses as much as digits as its factorization.

34881454080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

Adding to 34881454080000 its reverse (8045418843), we get a palindrome (34889499498843).

The spelling of 34881454080000 in words is "thirty-four trillion, eight hundred eighty-one billion, four hundred fifty-four million, eighty thousand".