35998470144 has 832 divisors, whose sum is σ = 135774016000. Its totient is φ = 9364045824.

The previous prime is 35998470113. The next prime is 35998470149. The reversal of 35998470144 is 44107489953.

35998470144 is a `hidden beast` number, since 3 + 599 + 8 + 4 + 7 + 0 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (35998470149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 493129692 + ... + 493129764.

Almost surely, 2^35998470144 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 35998470144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67887008000).

35998470144 is an abundant number, since it is smaller than the sum of its proper divisors (99775545856).

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

35998470144 is an equidigital number, since it uses as much as digits as its factorization.

35998470144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

It can be divided in two parts, 359984 and 70144, that added together give a triangular number (430128 = T₉₂₇).

The spelling of 35998470144 in words is "thirty-five billion, nine hundred ninety-eight million, four hundred seventy thousand, one hundred forty-four".