145246010426352 has 480 divisors, whose sum is σ = 475701414589440. Its totient is φ = 40882621440000.

The previous prime is 145246010426329. The next prime is 145246010426359. The reversal of 145246010426352 is 253624010642541.

It is a happy number.

145246010426352 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 4 + 6 + 0 + 1 + 0 + 4 + 2 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 145246010426298 and 145246010426307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145246010426359) 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, 845749549 + ... + 845921267.

It is an arithmetic number, because the mean of its divisors is an integer number (991044613728).

Almost surely, 2^{145246010426352} is an apocalyptic number.

145246010426352 is a gapful number since it is divisible by the number (12) 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 145246010426352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237850707294720).

145246010426352 is an abundant number, since it is smaller than the sum of its proper divisors (330455404163088).

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

145246010426352 is a wasteful number, since it uses less digits than its factorization.

145246010426352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172173 (or 172164 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 145246010426352 in words is "one hundred forty-five trillion, two hundred forty-six billion, ten million, four hundred twenty-six thousand, three hundred fifty-two".